Question : Directions: The sum of the present ages of Vishal and Aditi is 105 years. If Aditi is 25 years younger than Vishal, then what will be the present age of Pritam, who is 7 years older than Adit?
Option 1: 40 years
Option 2: 72 years
Option 3: 32 years
Option 4: 47 years
Correct Answer: 47 years
Solution :
Given:
(I) The sum of the present ages of Vishal and Aditi is 105 years.
(II) If Aditi is 25 years younger than Vishal
According to the statements –
(I) V's age + A's age = 105
(II) A's age = V's age – 25
⇒V's age = A's age + 25 (Put the value of V's age in equation I)
⇒A's age + 25 + A's age = 105
2 × A's age + 25 = 105
2 × A's age = 80
A's age = 40
Pritam's age = 7 + A's age; Pritam's age = 7 + 40 = 47
So, the present age of Pritam is 47 years. Hence, the fourth option is correct.
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