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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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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