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?

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