Question : Directions: Jay and his father have an age difference of 35 years now. After 5 years, the sum of their age will be 125. What will be the age of Jay and his father after 12 years from now?
Option 1: 51 years, and 85 years
Option 2: 52 years, and 87 years
Option 3: 40 years, and 75 years
Option 4: 45 years, and 70 years
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Correct Answer: 52 years, and 87 years
Solution :
Let the present age of Jay be A years, and his father's present age be B years.
Their age difference is 35 years.
⇒ B – A = 35
⇒ B = 35 + A
After 5 years, Jay's age = (A + 5) years, and his father's age = (B + 5) years.
⇒ (A + 5) + (B + 5) = 125
⇒ A + B + 10 = 125
⇒ A + B = 115
Now, substitute the value of B from the equation, B = 35 + A
⇒ A + 35 + A = 115
⇒ 2A + 35 = 115
⇒ 2A = 115 – 35
⇒ 2A = 80
⇒ A = 80 ÷ 2
⇒ A = 40 years
If A = 40, then B = 35 + A
⇒ B = 35 + 40 = 75 years
So, after 12 years, Jay's age = 40 + 12 = 52 years, and his father's age = 75 + 12 = 87 years. Hence, the second option is correct.
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