Math, asked by kalpna48, 6 months ago

the ages of sonu and monu are in the ratio 7:5 10 years hence the ratio of their ages will be 9:7 find their present age

please give me ans fast​

Answers

Answered by Aryan0123
3

Let

Present ages of Sonu = 7x

Present age of Monu = 5x

10 years hence,

Age of Sonu = 7x + 10

Age of Monu = 5x + 10

According to the question;

 \sf{ \frac{7x + 10}{5x + 10}  = \frac{9}{7}  } \\  \\  \implies \sf9(5x + 10) = 7(7x + 10) \\  \implies \sf 45x + 90 = 49x + 70 \\  \implies \sf{90 - 70 = 49x - 45x} \\  \implies \sf4x = 20  \\  \implies \sf{x =  \frac{20}{4}  } \\  \implies \sf  \boxed{ \sf{x = 5}}

 \sf{present \: age \: of \: Sonu = 7x = 7 \times 5 = 35} \\  \sf{present \: age \: of \: Monu = 5x = 5 \times 5= 25}

Therefore,

Present age of Sonu = 35 years

Present age of Monu = 25 years


BrainlyPopularman: Good
Answered by MEGHAISGREAT
2

Answer:

soun = 35 years

monu= 25 years

Step-by-step explanation:

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