The ages of Rahul and Haroon are in the ratio 5:7. Four years later the su ages will be 56 years. What are their present ages?
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Answered by
1
As stated the ages of Rahul and Haroon are in the ratio 5:7.
Assume that common age = X years
Then the ages of Rahul = 5X years
The age of Haroon = 7X years
AFTER FOR YEARS
The age of Rahul will be = (5X + 4) years
The age of Haroon will be = (7X + 4) years
Sum of their ages will be 56 years.
(5X + 4) years + (7X + 4) years = 56 years
5X + 4 + 7X + 4 = 56
12X + 8 = 56
12X = 56 - 8
12X = 48
X = 48 / 12
X = 4
Therefore,
Rahul's present age is (5 x 4) = 20 years
Haroon's present age is (7 x 4) = 28 years
Assume that common age = X years
Then the ages of Rahul = 5X years
The age of Haroon = 7X years
AFTER FOR YEARS
The age of Rahul will be = (5X + 4) years
The age of Haroon will be = (7X + 4) years
Sum of their ages will be 56 years.
(5X + 4) years + (7X + 4) years = 56 years
5X + 4 + 7X + 4 = 56
12X + 8 = 56
12X = 56 - 8
12X = 48
X = 48 / 12
X = 4
Therefore,
Rahul's present age is (5 x 4) = 20 years
Haroon's present age is (7 x 4) = 28 years
Answered by
0
The age of Rahul and Haroon are in the ratio 5:7. Four years later the sum of ages will be 56 years. What are their present ages?
Let the current age of Rahul and Haroon be 5x and 7x respectively
Four years later their ages become 5x + 4 and 7x + 4 respectively.
According to the question,
5x + 4 +7x + 4 = 56
or 12x + 8 = 56
Transposing 8 to the RHS we get,
12x = 48
Dividing both sides by 12 gives,
x = 48/12 = 4
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Thus current age of Rahul = 5*4 = 20
Haroon = 7*4 = 28
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