product of rohan's age 5years ago and 4 years hence is numerically 360.find his present age
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product of rohan's age 5years ago and 4 years hence is numerically 360.find his present age
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Answer:
Let Rohan present age be x years.
According to statement
(x - 5)(x + 4) = 360
[tex] {x}^{2} - x - 20 = 360 \\ {x}^{2} - x - 380 = 0 \\ {x }^{2} - 20x + 19x - 380 = 0 \\ [/tex]
x(x - 20) + 19(x - 20) = 0
(x - 20)(x + 19) = 0
x = 20 or x = - 19 rejected
so Rohan present age = 20 years