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
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Answered by
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.
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.
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