Question

16. A is 4 years older than B, and half of A's age exceeds one-sixth of B's age by 8 years. Find their ages.​

Answer 1

Answer:

A = 10, B = 6

Step-by-step explanation:

According to the question, A = B + 4

Also according to the question, A/2 = B/6 + 8

The second equation can be written as 3A = B + 24 (when multiplied with 3)

So, we get the equations as A - B = 4 and 3A - B = 24.

By elimination method, we get   3A - 3B = 12 and 3A - B = 24.

Cancelling 3A term, -2B = -12, B = 6 yrs.

A = B + 4, so A = 10 yrs.