Randall is 15 years younger than Wendy. 8 years ago, Wendy's age was 2 times Randall's age. How old is Randall now?

Mathematics · College · Tue Nov 03 2020

Answered on

Let Randall's current age be x

and, Wendy's current age be y 

Then, according to question :

x + 15 = y                        …..1

8 year ago :

Randall's age = x - 8 

Wendy's age = y - 8

x- 8/y -8 = 1/ 2

cross - multiplying, we get

2x - 16 = y - 8

2x - y = - 8 + 16

2x - y = 8                        ….2

Now, putting value of y in equation 2 from equation 1, we get

2x - (x+15) = 8

2x - x - 15 = 8

x = 8 + 15

x = 23

Now, putting value of x in equation 1, we get

y = x + 15

y = 23 + 15

y = 38 

 

Thus, Randall is 23 years old now.

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