Question 59

Ram’s father is twice as old as Ram is. Eight years ago the age of Ram’s father was 2.5
times his age. What is Ram’s current age?

Solution

Let F be the father and R be Ram.

F = 2R since his dad is 2 times his age.

F - 8 = 2.5(R - 8) as 8 years ago, the father was 2.5 times his age.

Sub in the F = 2R into the second equation.

2R - 8= 2.5(R - 8) multiply out the brackets.

2R - 8 = 2.5R - 20 rearrange to get the R’s on one side and numbers on the other.

12 = .5R

R = 24


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