2022 · Q8
If three times the greater of two numbers is divided by the smaller number, the quotient will be 6 and the remainder will be 6. If five times the smaller number is divided by the greater number, the quotient will be 2 and the remainder will be 3. What is the difference between the numbers?
Elementary MathematicsNumber System
- A8
- B9
- C10
- D12
Explanation
Let the greater number be g and the smaller s. Then 3g = 6s+6 and 5s = 2g+3. From the first, g = 2s+2; substituting into the second gives 5s = 4s+7, so s = 7 and g = 16. The difference is 9. The keyed option is B.