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 a

Question

2 years ago

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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 a

ge 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

Mathematics

1 answer:

azamat · Answer 1 · 2022-06-07T10:27:48+03:00

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).