The product of ramu age 5 yrs ago with his age 9 yrs later is 15 . find ranu present age
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Let the present age be x years
5 years ago age = ( x-5 ) years
9 years later age = ( x +9 ) years
Product of the age = 15
A/q,
( x - 5 ) ( x + 9 ) = 15
➡ x² + 9x - 5x - 45 = 15
➡ x² + 4x - 45 - 15 = 0
➡ x² + 4x - 60 = 0
➡ x² + 10x - 6x - 60
➡ x ( x + 10 ) - 6 ( x + 10 )
➡ ( x - 6 ) ( x + 10 )
➡ x = 6 and x = -10
Age can't be in -ve.
So, we take x = 6.
Answer :-
Present age of Ramu = 6 years
Hope it will help you !!
5 years ago age = ( x-5 ) years
9 years later age = ( x +9 ) years
Product of the age = 15
A/q,
( x - 5 ) ( x + 9 ) = 15
➡ x² + 9x - 5x - 45 = 15
➡ x² + 4x - 45 - 15 = 0
➡ x² + 4x - 60 = 0
➡ x² + 10x - 6x - 60
➡ x ( x + 10 ) - 6 ( x + 10 )
➡ ( x - 6 ) ( x + 10 )
➡ x = 6 and x = -10
Age can't be in -ve.
So, we take x = 6.
Answer :-
Present age of Ramu = 6 years
Hope it will help you !!
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