Question

The ages of the two persons differ by 20 years. If 5 years ago, the older one be 5 times as olas the younger one, then their present ages, in years, are

• A. 25,5
• B. 30,10
• C. 35,15
• D. 50,30

Answer 1

The Correct Option is B

Let present ages of the two persons be \(x\) and \((x-20)\) years
\(\rightarrow (x −5) =5×(x−20−5)\)
\(\rightarrow x−5=5x−125\)
\(\rightarrow 4x =120\)
\(\rightarrow x=\frac{120}{4}=30\)
Therefore, Their present ages = 30, 10 years
The correct answer is (B) : 30,10