Question

Tom is 4 more than twice Andrews age. Sara is 8 less than 5 times Andrews age. If Tom and Sara are twins, how old is Andrew? Show your work

Answer 1

T = 4 + 2A
S = 5A - 8
T = S
Since T and S are equal, set them against each other
2A + 4 = 5A - 8
Subtract 2A from each side, and add 8 to each side
12 = 3A
Divide each side by 3
A = 4
So Andrew is 4 years old
If Andrew is 4, then Tom is twice that plus 4, or 12. Sarah is 5 times 4 less 8, or 12. 

Answer 2

The age of Andrew will be 4 years.

Let Andrew's age be represented by A

Therefore, based on the information given, Tom's age will be represented as 4 + 2A and Sarah's age will be 5A - 8.

Therefore, we'll equate both equations and this will be:

4 + 2A = 5A - 8

Collect like terms

5A - 2A = 4 + 8

3A = 12

A = 12/3

A = 4

Therefore, Andrew is 4 years old.

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