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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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
∴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.
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Answer: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.
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