5 years ago , the age of Parvathi was 4 times his son . The sum of their present ages is 55 . Find their present age
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let the present age of parvathi be x and his son be y
5 years ago her age was x-5
by first condition
x-5=4y
x-4y=5........(1)
by secondcondition
x+y=55......(2)
substract equation(1) by (2)
(x+y=55)
-(x-4y=5)
5y=50
y=50/5
y=10
put y=10 in equation (1)
x-4y=5
x-4×10=5
x-40=5
x=5+40
x=45
the present age of parvathi is 45 years andhis son is 10 years
5 years ago her age was x-5
by first condition
x-5=4y
x-4y=5........(1)
by secondcondition
x+y=55......(2)
substract equation(1) by (2)
(x+y=55)
-(x-4y=5)
5y=50
y=50/5
y=10
put y=10 in equation (1)
x-4y=5
x-4×10=5
x-40=5
x=5+40
x=45
the present age of parvathi is 45 years andhis son is 10 years
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