Anil and Beena are friends, and the difference between their ages is 5 years. Anil’s father Dinesh is three times as old as Anil, and Beena is twice as old as her sister Charu. The ages of Dinesh and Charu differ by 45 years. If Beena is older than Anil, then find the sum of the present ages of both Dinesh and Charu.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 69 years.
Let the age of Anil = x years
So, the age of Beena = (x + 5) years
Dinesh's age = 3x years
Charu's age = (x + 5)/2 years
Now, 3x - (x + 5)/2 = 45
⇒ 6x - x - 5 = 90
⇒ 5x = 95
⇒ x = 95/5 = 19
Dinesh's age = 3x = 3 × 19 = 57 years
Charu's age = (x + 5)/2 = (19 + 5)/2 = 12 years
Sum of their ages = 57 + 12 = 69 years
Therefore, the sum of the present ages of both Dinesh and Charu is 69 years.