13 years ago Mohan's age was seven years more than half the age of his sister. Five years from now Mohan's sister will be 1.2 times as old as Mohan What is Mohan's present age?
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Step-by-step explanation:
let present age of Mohan be x and his sis be y
case 1:
13 years before
age of Mohan is (x-13) years
age of his sis is (y-13) years
ATQ:
x-13 = 7(y-13
x-13=7y-91
x-7y=13-91
x-7y=-78. 1
Case 2:
5 years later
age of mohan is (x+5) years
age of Mohan sis is (y+5) years
ATQ:
y+7=1.2(x+5)
y+7=1.2x+6
y-1.2x=-1. 2
On solving 1 and 2
age of Mohan is 10 years
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