Question

Choose what the expressions below best represent within the context of the word problem. Tom is 8 years older than Jane. Five years ago Tom was three times as old as Jane. How old is Jane now? x represents . x + 8 represents

Answer 1

Step-by-step explanation:

Given  

Choose what the expressions below best represent within the context of the word problem. Tom is 8 years older than Jane. Five years ago Tom was three  times as old as Jane. How old is Jane now?

Let age of Jane be J years.

So age of Tom will be J + 8

So 5 years ago Jane age will be J – 5 and age of Tom will be (J + 8) – 5

                                                                                                    = J + 3

So according to question

J + 3 = 3 (J – 5)

J + 3 = 3J – 15

3J – J = 18

2J = 18

J = 9

So age of Jane = 9 years and age of Tom will be T + 8 = 9 + 8 = 17 years.