# The ages of rahul and haroon are in the ratio of 5:7. four years later the sum of their ages will be 56 years. what are their present ages?

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by Sania22

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by Sania22

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Let the present age of Rahul be 5x years.

Let the present age of Haroon be 7x years.

After 4 years,

Age of Rahul = (5x + 4) years

Age of Haroon = (7x + 4) years

The sum of their ages after 4 years is 56.

∴(5x + 4) + (7x + 4) = 56

∴5x + 4 + 7x + 4 = 56

∴12x + 8 = 56

∴12x = 56 - 8

∴12x = 48

∴x = 48/12

∴**x = 4**

∴Present age of Rahul = 5x = 5(4) =**20 years**

Present age of Haroon = 7x = 7(4) =**28 years**

**Thus, the present age of Rahul is 20 years while the present age of Haroon is 28 years.**

Let the present age of Haroon be 7x years.

After 4 years,

Age of Rahul = (5x + 4) years

Age of Haroon = (7x + 4) years

The sum of their ages after 4 years is 56.

∴(5x + 4) + (7x + 4) = 56

∴5x + 4 + 7x + 4 = 56

∴12x + 8 = 56

∴12x = 56 - 8

∴12x = 48

∴x = 48/12

∴

∴Present age of Rahul = 5x = 5(4) =

Present age of Haroon = 7x = 7(4) =