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here is the question:-
The ages of Arun and Rahul are in the ratio 7:5. Ten years hence, the ratio of their ages will be 9:7(not 19:17). Find their present ages.
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Answered by
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Let Arun’s and Rahul’s age be 7x and 5x respectively.
After 10 yrs, their ages are 7x + 10, 5x + 10 respectively.
As per the given condition, Ratio after 10 years is 9:7
So,
Cross Multiplying, we get
7(7x + 10) = 9(5x + 10)
49x + 70 = 45x + 90
49x - 45x = 90 - 70
4x = 20
x = 5
Therefore,
Arun’s age = 7 × 5 = 35 years
Rahul’s age = 5 × 5 = 25 years
After 10 yrs, their ages are 7x + 10, 5x + 10 respectively.
As per the given condition, Ratio after 10 years is 9:7
So,
Cross Multiplying, we get
7(7x + 10) = 9(5x + 10)
49x + 70 = 45x + 90
49x - 45x = 90 - 70
4x = 20
x = 5
Therefore,
Arun’s age = 7 × 5 = 35 years
Rahul’s age = 5 × 5 = 25 years
Answered by
1
Answer:
THEIR AGES ARE 35 AND 25
Step-by-step explanation:
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