Problema Solution

vijay said to his wife, when I was 1/3rd of your age, you were 1/4th of my age. If their combined age is 62. What is the difference between their age?

Answer provided by our tutors

let


v = vijay's present age


w = wife's present age


the difference between their ages is: v - w


when vijath was: w/3 years old his wife was v/4 but the difference between their ages was the same, that is:


w/3 - v/4 = w - v


their combined age is 62:


v + w = 62


by solving the system of equations:


w/3 - v/4 = w - v


v + w = 62


we find:


v = 196/17


w = 62 - (196/17)


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v - w = 196/17 - (62 - (196/17)) = 2*(196/17) - 62 = 662/17 = 38 16/17 = 39 years approximately


the difference between their age is 39 years approximately.