rohan's mother is 26 years older than him. the product of their age (in years) 3 year from now will be 360. we would like to find rohan's present age
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Answer:
Rohan's present age is 7
Step-by-step explanation:
Given that mother is 26 years older than Rohan
Let 'x' be his age
Then mother's age=26+x
It is said that after 3 years their sum of ages will be 360
Rohan's age 3 yes from now is x+3
Rohan's mother age 3 yes from now is
(26+x)+3
=26+3+x
=29+x
Their Sum of ages is 360
(x+3)(29+x)=360
Solve the equation.......
29x+x^2+87+3x=360
x^2+32x=360-87
x^2+32x=273
x^2+32x-273=0
x^2+39x-7x-273=0
x (x+39)-7 (x+39)=0
(x-7)(x+39)=0
x=7
x=-39
We take the positive value
So age of Rohan is 7 yrs and his mother is 7+26=33
Confirmation
(7+3)(33+3)=360
10*36=360
Hope it helps.........
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Answer:
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