Question

Ht e present age of Nitin and Tarun are in the ratio 5:6.Three years ago,their ages were in the ratio 4:5. find their present ages

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Answer 1

Answer:

The present ages of Kiran and Shyam are in the ratio 5:4 respectively. Three years hence, the ratio of their ages will become 11:9 respectively. What is Shyam's present age in years?

Step-by-step explanation:

Let the rational between their ages be x

The present ages of Kiran and Shyam are in the ratio 5:4 respectively.

Thus the present age of Kiran and Shyam is 5x and 4x

Three years hence, the ratio of their ages will become 11:9 respectively.

Three years hence their ages 5x + 3 and 4x + 3

The ratio

5x+ 3 / 4x + 3 = 11/9

Cross multiplication

9 (5x + 3) = 11 (4x + 3)

45x + 27 = 44x + 33

45x - 44x = 33 - 27

x = 6

Rational is 6 therefore Kiran age 5x = 5 × 6 = 30 years and Shyam age 4x = 4 × 6 = 24 years

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