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- Eight years ago, Ajay's age was 4/3 times that of Vijay.
Question 1:
Eight years ago, Ajay's age was 4/3 times that of Vijay. Eight years hence, Ajay's age will be 6/5 times that of Vijay. What is the present age of Ajay? A. 30 years
B. 40 years
Feedback Let the present ages of Ajay and Vijay be 'A' and 'V' years respectively.
A - 8 = 4/3 (V - 8) and A + 8 = 6/5 (V + 8)
3/4(A - 8) = V - 8 and 5/6(A + 8) = V + 8
V = 3/4 (A - 8) + 8 = 5/6 (A + 8) - 8
=3/4 A - 6 + 8 = 5/6 A + 20/3 - 8
= 10 - 20/3 = 10/12 A - 9/12 A
= 10/3 = A/12 => A = 40.
A - 8 = 4/3 (V - 8) and A + 8 = 6/5 (V + 8)
3/4(A - 8) = V - 8 and 5/6(A + 8) = V + 8
V = 3/4 (A - 8) + 8 = 5/6 (A + 8) - 8
=3/4 A - 6 + 8 = 5/6 A + 20/3 - 8
= 10 - 20/3 = 10/12 A - 9/12 A
= 10/3 = A/12 => A = 40.
C. 32 years
D. 48 years
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