Question

Tom is twice as old as andy. in 4 years' time, the sum of their ages will be 32 years. Find andy's present age. Don't forget to identify your variable and answer in a full sentence.?

Answer 1

Answer:

8 years old

Step-by-step explanation:

Andy = x

Tom = 2x

So..

2x + 4 + x + 4 = 32

3x + 8 = 32

3x = 24

x = 8

Answer 2

Answer:

8 years old

Step-by-step explanation:

If we put Tom's age as x, since Andy is twice as old, Andy's age is 2x. Therefore, since Tom's age + Andy's age in two years is 32,

(x + 4) ← Tom's age in 4 years

(2x + 4) ← Andy's age in 4 years

We can now create an equation:

x+4 + 2x+4 = 32

Combining like terms, x + 2x = 3x, so now we have

3x + 4 + 4 = 32                                

4+4=8, so

3x + 8 = 32

-8          -8

3x = 24

Divide both sides by 3, and you have your answer ;

x = 8

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