Math, asked by RochanaV, 4 months ago

Raja is 14 years younger than his cousin. After 5 years, their ages will be in the ratio 1:2. Find their present ages.​

Answers

Answered by anirudhaswain646
2

Step-by-step explanation:

Let the age of Raja = x

Age of Raja's cousin = 14+x

Age's after 5 years:-

Raja = x+5

His cousin = 14+x+5 = 19x

Ratios of their ages = 1:2

Thus,we have

x+5/19+x = 1/2

Cross multiplying,we get

2(x+5) = 1(19+x)

2x+10 = 19+x

2x-x = 19-10

x = 9

Thus,

Age of Raja = x = 9 yrs

Age of Raja's cousin = 14+x = 14+9 = 23 yrs

* Hope it's help you.

Answered by hiyalongiyani
0

Answer:

Age of Raja = 9 yrs

Age of Raja's cousin = 23 yrs

Step-by-step explanation:

Let the age of Raja = x

Age of Raja's cousin = 14+x

Age's after 5 years:-

Raja = x+5

His cousin = 14+x+5 = 19x

Ratios of their ages = 1:2

Thus, we have

x+5/19+x = 1/2

Cross multiplying, we get

2(x+5) = 1(19+x)

2x+10 = 19+x

2x-x = 19-10

x = 9

Thus,

Age of Raja = x = 9 yrs

Age of Raja's cousin = 14+x = 14+9 = 23 yrs

* Hope it's help you.

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