A number is divided into two parts such that when the greater part is divided by the smaller, the quotient is 3 and the remainder is 5. Find the smaller number if the sum of the two numbers is 37

Q: There are three consecutive even integers. If twice the first integer added to the second is…

A:

Q: There are three consecutive odd integers. Three times the largest is seven times the smallest. What…

A: Please find the solution in the attachment

Q: Find three consecutive integers such that the sum of twice the first and three times the second is 7…

A: We have to find the value of three consecutive integers for given condition.

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

A: Given the sum is three digit number with the same digit , let the number be aaa Hence 1+2+3+...+n =…

Q: When a number in increased by 20%, the result is the same when it is decreased by 10% plus 12. What…

A: Given that, a number is increased by 20% the result is the same when it is decreased by 10% plus 12.…

Q: Find three positive numbers whose sum is 12 and whose sum of squares is as small as possible

A:

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

A:

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

A: Let the number be x.

Q: The four-digit number has a digit sum of 20. The sum of its last two digits is equal to its second…

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: The sum of the digits of a two-digit counting number is 5. When the digits are reversed, the number…

A: Let the two digits of the number is x and y.And the number is given by 10x+y

Q: the sum of the three consecutive odd integers is 219. What is the largest of the three?

A: Equation relates the number of variables combined together by algebraic entities using equality…

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

A:

Q: A King in ancient times agreed to reward the inventor of chess with one grain of wheat on the first…

A:

Q: 4. The larger of two numbers is one more than four times the smaller number. If the sum of the…

A:

Q: Find two numbers whose sum is 24 and whose product is as large as possible

A: Solution: The objective is to find the two numbers whose sum is 24 and whose product is as large as…

Q: Find two numbers whose sum is -9 and whose difference is 1. Your answer is: The largest of the two…

A:

Q: Three consecutive integers are chosen so that the sum of the smallest, twice the middle number, and…

A: Given,          Three consecutive integers are chosen so that the sum of the smallest, twice…

Q: A sum of $2700 is to be given in the form of 63 prizes. If the prize is of either $100 or $25, find…

A:

Q: Divide $80 among three people so that the second will have twice as much as the first, and the third…

A: Let A, B and C are the three peoples.It is given that if A has x dollars then B has 2x dollars and…

Q: If a number is divided by 4, then 3 is subtracted, the result is 0. What is the number?

A: Let the number is x.x is divided by 4, then 3 is subtracted.That is given by (x/4)-3

Q: find three consecutive even integers such that the sum of twice the first and three times the second…

A:

Q: Find two numbers whose sum is 9 and their difference is 60.   Smaller- Large number-

A: We have given the - sum of two numbers = 9. difference of two numbers = 60. we have to find the…

Q: 4. If the larger of two numbers is subtracted from six times the smaller, the result is 20. If twice…

A: To find the numbers when we have the given condition :-

Q: The product of two whole numbers is 546 and their sum is 47 . What are the two numbers ?

A:

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: 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: If 2/3 of an estate is to be divided among 6 family members, what fraction of the estate does each…

A: Given, The estate is 2/3,  To divide 2/3 of an estate among 6 family members.

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 total ages of Mario, his wife and his on is 110 years. Mario's age is 10 years more than the…

A: Suppose age of Mario is M, age of his wife is W and age of his son is S. Then M+W+S=110...(1) Now,…

Q: The sum of the digits of a 3-digit number is 17. The hundred's digit is twice the unit's digit. If…

A:

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: ind the product of two numbers whose sum is 11 and difference is 3

A: Here from the given information, first, we have to find two numbers whose sum is 11 and the…

Q: Two numbers have a sum of 20. If one number is p, expressthe other number in terms of p

A: Two numbers have sum 20. Suppose one number is p and the other is q. Then p+q=20

Q: Find 3 consecutive even integers such that the sum of the second and the third integers is equal to…

A: take 2n,   2n+2,  2n+4. as three consecutive even integers.  Then perform the operation as said in…

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: If four times a number added to 3 is vidived by the number plus 7, the result is seven halves. find…

A:

Q: The sum of three consecutive odd integers is 159. What is the largest integer?

A: Given : The sum of three consecutive odd integers is 159.

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

A: solve the equation n(n+1)​2=xxx  n(n+1)​=xxx=x×111111 Can be write in the form of product of two…

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

A:

Q: 2. The sum of three consecutive odd integers is 159. What is the product of the smallest integer and…

A:

Q: When a certain number is divided by 4, the remainder is 3. If twice that number is divided by 4,…

A: