The sum of some three-digit number and 10 times the sum of its digit is 496. Find that number.

Q: The sum of a two digit number and the number formed by interchanging the digit is 132. If 12 is…

A:

Q: The sum of twice a number and 5 is at most 15. What are the possible values for the number?

A:

Q: If three times a number, added to 2 is divided by the number plus 9, the result is five halves. Find…

A: Ask to determine a certain number using given conditions

Q: The sum of the ages of the father and his son is 99. If the age of the son is added to the inverted…

A: Consider age of father is xy and his son is ab, It is given that the sum of ages of father and his…

Q: The sum of two integers is 144. If their quotient is (7/5) , find the two integers.

A: Let the required numbers be x and y. It is given that the sum of the numbers is 144. x+y=144…

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 three consecutive even numbers is 48. What are the smallest of these numbers?

A: Given  The sum of three consecutive even number is 48 We know that two consecutive even number…

Q: The sum of two natural numbers is 61. If one number is five less than five times the other number…

A:

Q: Twice the sum of a number and 12 is 70. Find the number.

A: Let the number is x So, 2(x+12)=70

Q: The sum of the first and second of three consecutive even integers is 138. Find the three even…

A: Let us consider the three even integers as:   2k, 2(k+1), 2(k+2)

Q: A certain number added twice to itself equals 96. What is the number?

A:

Q: The sum of three consecutive odd integers is 255. What are the integers?

A: Given that: Sum of three consecutive odd integers is 255.

Q: A sum of $700 is to be used to give seven cash prizes to students of a school for their overall…

A:

Q: The sum of three consecutive integer is 84 what are the numbers

A: The sum of three consecutive integer is 84 To find what are the numbers

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: 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: The sum of two consecutive even integers is 106. What are the integers?

A:

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

A:

Q: Find two consecutive even numbers such that the sum of one-sixth the larger number and one-fourth…

A: Consider these two numbers are x and x+2

Q: Find two positive numbers that satisfy the given requirements.

A: Given :           The sum of two times the second number and the first number is 108. To calculate :…

Q: A sum of $280 is to be used to award four prizes. If each prize after the first is $20 less than its…

A:

Q: The sum of three consecutive even numbers is 24.  What is the smallest of the three numbers?

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

A:

Q: The sum of two numbers is 361, and the difference between the two numbers is 173. What are the two…

A: let x and y be 2 numbers.

Q: The sum of five consecutive integers is 12 more than 4 times the fourth integer. What are the…

A: Let the first intergers be a. Then other integers are a+1, a+2, a+3 and a+4. Given that sum of these…

Q: Find all three digit numbers that multiplied by 6 give a three digit number with the same sum of…

A: Given data:- Given number will be of 3 digit number A number obtained after multiplication by 6 also…

Q: The son of the two digit number and number formed by interchanging its digits is 110.if 10 is…

A:

Q: The sum of 1/5 and twice a number is equal to 4/5 subtracted from three times the number. Find the…

A: Given that the sum of 1/5 and twice a number is equal to 4/5 subtracted from three times the number.…

Q: The product of two consecutive odd integers is 99. What are the numbers?

A: The product of two consecutive odd integers is 99. What are the numbers

Q: The sum of two consecutive even integers is 126. What are the integers?

A: Let, the first even integer be x. And the other is 2x+2. Now, The sum of two consecutive even…

Q: Find a pair of numbers whose sum and product are both equal to 32.

A: We have to find out a pair of number whose sum and product both are equals to 32. Let these 2…

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: If twice a number, added to 3 is divided by the number plus 7, the result is seven fourths. Find the…

A: Answer is 37 Detailed explanation given in Step 2

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 whole numbers is 462 and their sum is 43. What are the two numbers?

A: Let assume that the two whole numbers are x and y.So according to the given informationxy = 462…

Q: The sum of three consecutive even integers is 246. What are the numbers?

A: Let, The three consecutive even integers can be represented by x, x+2, x+4.

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…

A:

Q: The sum of two consecutive even integers is 26. What are the two numbers?

A: Given:

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 sum of a two digit number and the number formed by interchang ing the digit is 132. If 12 is…

A:

Q: Find two numbers whose sum is 36 and whose difference is 8. smaller number larger number

A:

Q: two times the sum of a number and seven is negative thirty-sex. What is the number?

A: Let the number be x and according to the given statement: The sum of a number x and seven is x+7,…

Q: The sum of three consecutive even numbers is 246. What are the numbers?

A: Let the even numbers are (x-2), x and (x+2)

Q: Find two numbers whose sum is 9 and whose product is −36.

A: To determine the value of the numbers.

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: One number is nine more than another number. If the sum of the numbers is 65, find both numbers.

A: We can find both the number as below.

Q: The sum of the first and last of four consecutive odd integers is 52. What are the four integers?

A: Given:The sum of the first and last of four consecutive odd integers is 52. What are the four…

Q: A number plus itself, plus twice itself, plus 4 times itself, is equal to − 104.What is the number?

A:

Q: Find two numbers whose sum is 38 and whose difference is 14. smaller number larger number

A: Given : Sum = 38 Difference = 14

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.