Problema Solution

The ages of two brothers are in ratio 8:3.In three years time their age will be in ratio 9:4. Find the difference between their ages.

Answer provided by our tutors

Since the ages of two brothers are in ratio 8:3 we can write 8x and 3x for the present ages of the brothers, where x is some number.

The difference between their ages is: 8x - 3x = 5x.

After 3 years the ages of the brothers will be (8x + 3) and (3x + 3) and also:

(8x + 3) : (3x + 3) = 9 : 4

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click here to see the equation solved for x

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x = 3

5x = 5*3 = 15

The difference between their ages is 15 years.