Question

Write the following as an equation. Amy is 16 yrs older than Peter, whose age is 'x' yrs. 6 yrs ago, her age was twice Peter's age at that point.
pick the best answer.     x + 10 = 2 (x - 9),   x + 10 = 2 (x - 7),   x + 10 = 2 (x - 3),  x + 10 = 2 (x - 6).please help me.=D

Answer 1

Amy's current age is 16 years greater than Peter's age, so Amy's current age is equal to x + 16.

6 years ago, Amy's age was equal to twice that of Peter's age at that point, so her age was 2(x - 6).

As currently her age is x + 16 then 6 years ago her age was x + 16 - 6, which is x + 10.

As 6 years ago her age was equal to 2(x - 6) and x  + 10, we can see that x + 10 = 2(x - 6).