Question

The ages of Ujaan and Aznan are in the ratio of 9: 7. Ten years ago their ages were in the ration 7: 5. Find their present ages.

Answer 1

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⭐⭐⭐⭐⭐ ANSWER ⭐⭐⭐⭐⭐
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Let the common ratio of ages of them be x years.

Then,

✌✌✌ Present Ages ✌✌✌

Ujaan = 9x years

Aznan = 7x years


✌✌✌ 10 YEARS AGO ✌✌✌

Ujaan's age = (9x-10) years

Aznan = (7x-10) years


Also, given that 10 years ago their ages will be 7x years and 5x years respectively.



By condition,

(9x-10)/(7x-10) = 7x/5x

=> 45x - 50 = 49x - 70

=> 45x - 49x = -70 + 50

=> - 4x = -20

=> x = 5


So, present age of Ujaan

= (9×5) years

= 45 years


Similarly, present age of Aznan

= (7×5) years

= 35 years


REQUIRED ANSWER :- Their present ages are 45 years and 35 years respectively.

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⭐⭐⭐ ALWAYS BE BRAINLY ⭐⭐⭐

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Answer 2

Present age is 45 and 35