Question

10 years ago from now, ratio of ages of ‘R’ and ‘L’ was 5:7, respectively. If ‘L’ is 8 years elder to ‘R’, then what will be the age of ‘L’, 6 years hence from now?

A 45 years Correct Answer Incorrect Answer
B 44 years Correct Answer Incorrect Answer
C 42 years Correct Answer Incorrect Answer
D 40 years Correct Answer Incorrect Answer

Solution

10 years ago from now,  (R - 10)/(L-10) = 5/7 Also given; L = R + 8 (R - 10)/(R + 8 -10) = 5/7 (R + 10)/(R - 2) = 5/7 7R - 70 = 5R - 10 2R = 60 R = 60 Present age of ‘L’ = 30 + 8 = 38 years Age of ‘L’, six years hence from now = 38 + 6 = 44 years

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