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

Answer: (B)

30,10

Answer 2

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