Math, asked by anita22121981, 1 year ago

the present age of Avneet Mala are in the ratio of 5:3.If avni had been 7 years older and Mala 7 years younger ,the age of Avni would have been 3 times and the age of Mala find the present age

Answers

Answered by VEDULAKRISHNACHAITAN
4

Answer:

Avni's age = 35 years, Mala's Age = 21 years

Step-by-step explanation:

Hi,

Let 'x' be the present age of Avni

Let 'y' be the present age of Mala

Given that the present ages of Avni and Mala are in the ratio 5:3

=> x : y = 5 : 3

=> x/y = 5/3

=> 3x = 5y-------(1)

Also given that ,Avni's age if she is 7 years older than the present is 3 times

Malas age if she is younger by 7 years to the present , hence

(x + 7)/(y - 7) = 3

=> x + 7 = 3y - 21

=> x - 3y = -28-----(2)

Using (1), we get

5y/3 - 3y = -28

=> -4y/3 = -28

=> y = 21

and x = 35

Hence present ages of Avni and Mala are 35 and 21 years respectively.

Hope, it helped !

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