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.