Math, asked by johnyhardy31, 6 months ago

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

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Answered by rahul05082004
0

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Answered by Anonymous
6

Given :-

Ratio of their ages = 5 : 7

Four years later the sum of their ages would be = 56

To Find :-

The present age of Rahul.

The present age of Haroon.

Analysis :-

Consider the common ratio as a variable.

Make an equation accordingly.

Then find the value of the variable and substitute it in the ages.

Solution :-

Let the ages of Rahul and Haroon be 5x and 7x.

Ages after 4 years,

Rahul = 5x + 4

Haroon = 7x + 4

According to the question,

(5x + 4) + (7x + 4) = 56

Taking the like terms,

5x + 7x + 4 + 4 = 56

12x + 8 = 56

By transposing,

12x = 56 – 8

12x = 48

Finding x,

x = 48/12

x = 4

Finding their ages,

Present age of Rahul = 5x

= 5 × 4 = 20

Present age of Haroon = 7x

= 7 × 4 = 28

therefore, the present ages of Rahul and Haroon are 20 and 28 years respectively.

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