Math, asked by viduola, 1 year ago

the ages of mohan and sohan are in the ratio 5:7.if mohan was 9 years older and sohan 9 years younger,then their ages would be in the ratio 2:1.find their present ages.

Answers

Answered by josimagic
47

Answer:

The present age of Mohan = 15 years

The present age of Sohan = 15 years

Step-by-step explanation:

It is given that,

1) The ages of Mohan and Sohan are in the ratio 5:7

Their present age be 5x and 7x

2) f mohan was 9 years older and sohan 9 years younger,then their ages would be in the ratio 2:1

\frac{5x+9}{7x-9}=\frac{2}{1}

To find x

\frac{5x+9}{7x-9}=\frac{2}{1}

5x + 9 = 14x - 18

9x = 27

x = x

To find their present ages

Present age of Mohan = 5x = 15 years

Present age of Sohan = 7x = 21 years

Answered by TooFree
26

Answer:

Mohan is 15 years old and Sohan is 21 years old.


Step-by-step explanation:

Ratio = 5 : 7


Define x:

Let x be the constant ratio

Ratio = 5x : 7x


Solve x:

(5x + 9) / (7x - 9) = 2/1

5x + 9 = 2(7x - 9)

5x + 9 = 14x - 18

9x = 27

x = 3


Find their present age:

Mohan = 5x = 5(3) = 15 years old

Sohan = 7x = 7(3) = 21 years old


Answer: Mohan is 15 years old and Sohan is 21 years old.


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