# Math

posted by .

If a positive two-digit integer is divided by the sum of its digits, the quotient is 2 with a remainder of 2. If the same two-digit integer is multiplied by the sum of its digits, the product is 112. What is the two-digit integer?

• Math -

Start with the factors of 112 and work backwards to meet the other conditions.

## Similar Questions

1. ### math

Posted by nicole on Monday, September 22, 2008 at 4:32pm in response to math. Can u please help me with this..this is my sons 6th grade work and im pulling my hair out..i would like to know how to do it so he does not think or his …
2. ### math

Can u please help me with this..this is my sons 6th grade work and im pulling my hair out..i would like to know how to do it so he does not think or his teacher that im an idiot... Thank You So Much -The mystery # is a decimal.. -The …
3. ### Math

The mystery number's tens digit is less than the ones digit. The tens digit is less than the tenths digit. The tens digit is even. Its ones digit divided by its tens digit is 5. The product of two of the digits is 6 It has two odd …
4. ### Algebra

Let S(N) denote the digit sum of the integer N. Let M denote the maximum value of N/S(N), where N is a 3-digit number. How many 3-digit numbers N satisfy N/S(N)=M?
5. ### Math

If a number of 2 digits is divided by the sum of its digits, the quotient is 2 and the remainder is 2. If it's multiplied by the sum of its digits, the result is 112. Find the number.
6. ### MATH

What is my number if the hundreds digit is less than the tens digit and less than the ones digit and the hundreds digit is even and the tends digit divided by the hundreds digit is 5 and the product of two of the digits is 6 and it …
7. ### Math

Twice the sum of the digits of a positive, two-digit integer is 19 greater than the ones digit. Reversing the digits decreases the number by 18.
8. ### Math

John chooses a 5-digit positive integer and deletes one of its digits to make a 4-digit number. The sum of this 4-digit number and the original 5-digit number is 52713. What is the sum of the digits of the original 5-digit number?
9. ### Math

If a positive two-digit integer is divided by the sum of its digits, the quotient is 2 with a remainder of 2. What is the two-digit integer?
10. ### Algebra

If a positive two-digit integer is divided by the sum of its digits, the quotient is 2 with a remainder of 2. What is the two-digit integer?

More Similar Questions