Hitesh is 40 years old and Ronnie is 60 years old

Hitesh is 40 years old and Ronnie is 60 years old. How many years ago was the ratio of their ages 3: 5?
(a) 5 years
(b) 20 years
(c) 10 years
(d) 37 years

Anurag Mishra Professor Asked on 8th March 2016 in Maths.
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  • 1 Answer(s)

    Answer: (c) 10 years 

    Solution:-
    Hitesh is 40 years old and Ronnie is 60 years old. 

    Let X years ago was the ratio of their ages 3: 5.
    Then, 
    (40 – X)/(60 – X) = 3/5
    by cross multiplication, 
    40 x 5 – 5 X = 3 x 60 – 3 X
    – 5 X + 3 X = 180 – 200
    – 2 X = – 20 
    X = 20/2
    X = 10 

    Then, 10 years ago was the ratio of their ages 3: 5. 

    Hence, the correct answer is option (c) 10 years. 

    Anurag Mishra Professor Answered on 8th March 2016.
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