The sum of two numbers is 143. If the greater number is divided

The sum of two numbers is 143. If the greater number is divided by the difference of the numbers, the quotient is 7. What is the difference of the two numbers?

  1. 9
  2. 11
  3. 14
  4. 15

Answer

Let the two numbers be: a and b (a > b). The sum of two numbers is 143.

a + b = 143

If the greater number is divided by the difference of the numbers, the quotient is 7.

a = 7(a - b) = 7a - 7b

6a = 7b

6a + 6b = 6*143

7b + 6b = 6*143

b = 66

a = 77

a - b = 11

The correct option is B.