Math, asked by mangeshghadage6, 1 year ago

Sum of the present ages of manish and savita is 31. Manish's age 3 years ago was 4 times the age of savita. Find their present age

Answers

Answered by udit43
175
Let the age of Manish be x

And age of Savita be y

So According to the question :

x + y = 31 ----- equation 1)

x - 3 = 4 ( y - 3 )

x - 3 = 4y - 12

x - 4y = -12 + 3

x - 4y = -9 ------- equation 2)

x + y = 31

x = 31 - y ---------- equation 3)

Substitute equation 3 in 2

31 - y - 4y = -9

-5y = -9 - 31

-5y = - 40

y = - 40 / - 5

y = 8

x + y = 31

x + 8 = 31

x = 31 - 8

x = 23

So Manish's age is 23 years

And Savita's age is 8 years.

Hope it helps you.

Have a good day.

Answered by shindedropadi
26

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