linear equation

Asked by  | 25th May, 2010, 01:25: PM

Expert Answer:

Let X be the man's present age, and Y, Z be the two sons present ages respectively.

X = 5(Y + Z)         .

Hence Y + Z = X/5.       ..... (1)

After 5 Years the ages will all be increased by 5.

X + 5 = 2(Y + 5 + Z + 5).

X + 5 = 2(Y + Z + 10)

But Y + Z = X/5    from (1)

X + 5 = 2(X/5 + 10)

X - 2X/5 = 15.

3X = 15x5

X = 25 years,

The man's present age is 25 years.

Regards,

Team,

TopperLearning.

Answered by  | 25th May, 2010, 06:29: PM

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