Answered: The sum of the digits of a two-digit…

The sum of the digits of a two-digit number is 10. If the digits are reversed, the new number is 18 more than the original number. Determine the origina number. The original number is

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter9: Systems Of Linear Equations

Section: Chapter Questions

Problem 29CLR

See similar textbooks

Related questions

Q: If 2 times the reciprocal of a number is subtracted from 3 times the number, the difference is 1.…

A: If two time of reciprocal of a number x is subtracted from 3 times the number the difference is 1…

Q: If the sum of two consecutive odd numbers is 48, find the numbers.

A: Consider a number n which is an odd number. Then, the consecutive odd number is n+2. Sum of these…

Q: The sum of two digit number and the number obtained by reversing the order of its digits is 165 . If…

A: Sum of two digit numbers and its reverse is 165 Digits differ by 3 A two digit number is of the form…

Q: The sum of the digits of two digit number is 8 and the difference between the number and that formed…

Q: If the difference of a number and seven is tripled, the results is seven more than the number.

Q: The sum of the digits of a two-digit number is 11. If the digits are interchanged, the new number is…

A: As many Questions are given, I will solve only the first one. Ans 3. Let the digit at ten's place be…

Q: When a number is multiplied by 4 before subtracting from 68, the result obtained is the same as…

A: Let the number of our interest be x. Let us see the first half of statement. The number is first…

Q: The sum of the digits of a two-digit number is 9. If 27 is added to it, the digits of the number get…

A: Let the two digit number be xy. It is given that the sum of the digits is 9. Hence x+y=9.

Q: The sum of twice a number and five is 14.

A: Solving from the given data we have

Q: The sum of the digits of a two-digit number is 8. If the ten’s digit is three times the one’s digit,…

Q: The sum of 10 divided by a number and that number divided by 10

A: Let the number be x.

Q: if the digits of a two-digit number are reversed the number is increased by 36. the sum of the…

A: To find the number that satisfies the given conditions.

Q: the sum of the digits of two digit number is twelve. if the units digit is thirteen less than four…

A: Let x be units digit and y be the tens digits therefore x+y=12 also x=4y-13 solve both the…

Q: The sum of a digits of a two digit number is 8. If 18 is added to the number, the digits of the…

A: It is given that the sum of the first and the second digit of a two digit number is 8. We know that…

Q: When a number is multiplied by 4 before subtracting from 68, the result obțained is the same as…

A: First of all assume the number to be x and as it is given in the question that 4 is multiplied with…

Q: The sum of the digits of a certain two-digit number is 10. If the digits are reversed, a new number…

A: The sum of digits of two digit number is 10 Let the unit digit be x Therefore, the digit at tens…

Q: The house numbers of two adjacent homes are two consecutive even numbers. If their sum is 358, find…

A: We have to find out the house number

Q: A number consists of two digits whose sum is 5. If 9 is subtracted from the number the digits are…

Q: If 8 more than twice a number is equal to 20, what is 6 times the number?

A: Given: 8 more than twice a number is equal to 20…

Q: The sum of three consecutive numbers is 72 What are the smallest of these numbers?

Q: A company charges $20 to make one monogrammed shirt, but reduces this cost by $0.10 per shirt for…

A: Given,Charges for first shirt = $20.Reduces cost per shirt for additional shirt upto 100 shirst =…

Q: The sum of the ages of John and Mary is 32. Four years ago, John was twiceas old as Mary. Find the…

Q: If the sum of three consecutive numbers is 39, find the numbers

Q: The sum of the digits of a two digit number is 12. If the digits are reversed the new number is 4/7…

Q: If the difference of a number and ten is doubled, the result is nine more than the number.

A: Let A be the number.

Q: If 3/ 4 is added to three times a number, the result is 1/2 subtracted from twice the number. Find…

A: If 34 is added to three times a number, the result is 12 subtracted from twice the number.

Q: The sum 1 + 2+3+ ...+n is equal to one three-digit number with the same digits. Determine that…

A: The sum of first n natural numbers can be represented by the formula: 1+2+3+……+n=n(n+1)2 . The…

Q: If you add seven to twice a number, the result is seventeen. What is the numbet

Q: If the product of five consecutive even integers is equal to one of the integers,what is the largest…

A: Let a, b, c, d, e be five consecutive even integers.It is given that product of five consecutive…

Q: The sum of an even number and an odd number is odd.

A: Solution is provided below

Q: the sum of three consecutive natural numbers is 483, find the numbers.

A: Let the first natural number be ‘x’.So, the three consecutive natural numbers are x, x + 1 and x +…

Q: The sum 1 + 2+ 3+...+ n is equal to one three-digit number with the same digits. Determine that…

A: We know that, 2+3+4+.....+n=nn+12 We have to find one three digit number with the same digits as the…

Q: If a certain number with two digits is divided by the sum of the digits, the quotient is 6 and the…

A: Use the general form of writing a two digit number. Write the other number by interchanging the…

Q: The sum of the digits of a two digit number is 16. If the digits are reversed, the new number formed…

A: Given; The sum of the digits of a two digit number is 16. If the digits are reversed, the new number…

Q: The product of two numbers is 98, and one of the numbers is n. What is the other number?

A: Given the product of two numbers is 98. One of the numbers is n. We have to find the other number.

Q: The sum of two digit number and the number obtained by reversing the order of its digits is 165. If…

Q: The sum of a two-digit number and the number obtained by reversing the order of digits is 99. If the…

A: The sum of a two-digit number and the number obtained by reversing the order of digits is 99. If the…

Q: The sum of the ages of the three Romano brothers is 63. If their ages can be represented as…

A: From the consecutive integers

Q: The digits of a positive two-digit number are reversed, resulting a new number. It turns out that…

A: A two digit no. Is given by as: 10a+b

Q: The quotient of a number and seven, added to 25 is the same as twice that number

Q: The sum of the two numbers is 15 . If the sum of their reciprocals is (3/10). Find the numbers

Q: The sum of the digits of a two-digit number is 10. When the digits are reversed, the new number is…

A: Given, The sum of the digits of a two-digit number is 10. When the digits are reversed,…

Q: If the quotient of a number and 4 is added to 1/2, the result is 3/4. Find the number.

A: 1 is the answer.

Q: The sum of the digits of a two-digit number is 8. If the digits are reversed, the new number is 18…

A: Consider a two-digit number: N=10a+b……1 where a and b are digits, between 0 to 9, at ten's and one's…

Q: The sum of 2/3 and four times a number is equal to 5/6subtracted from five times the number. Find…

A: solve equation

Q: The sum of a two -digit numbers And the number obtained by reversing the order of its digits is…

Q: Seven times a two digit number is equal to four times the number obtained by reversing the digits…

Question

The sum of the digits of a two-digit number is 10. If the digits are reversed, the new number is 18 more than the original number. Determine the origina
number.
The original number is

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

The sum of three times a number and seven is twenty-five. Find the number.
The sum of three times a number and seven is 25. Find the number.
The sum of 13 and twice a number is — 19. Find the number.
The sum of four times a number and two is fourteen. Find the number.
The sum of four times a number and two is 14. Find the number.
A ladder has 15 tapered rungs, the lengths of which increase by a common difference. The first rung is 5 inches long, and the last rung is 20 inches long. What is the sum of the lengths of the rungs?