Question

The difference in the age of two people is 20 years. If 5 years ago, the elder one of the two was 5 times as old as the younger one, then their present ages are equal to:


A) 20 and 30 years respectively


B) 30 and 10 years respectively


C) 15 and 35 years respectively


D) 32 and 22 years respectively
who answers first will be marked and given more points

Answer 1

Answer:

Let us start with step by step

Let us assume the age of elder person be x.

And according to the question the difference in there age is 20 therefore the younger will be x-20.

Also for five years ago we have to subtract 5 from there ages we will get

Elder's age x-5

And younger's age x-20-5=x-25

Also according to your question

Five years ago the age of the elder was 5 times as much of the youngers age.

On making the equation we get

x-5=5(x-25)

x-5=5x-125

125–5=5x-x

120=4x or 4x=120

On solving we get x=30

Therefore the elder's age is 30 and younger's age is 30–20=10

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