The product of tanay's age (in years) five year ago and his age ten year later is 16 determine tanay's present age.
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Answered by
61
let tanay's present age be x yrs
five yrs ago tanay's age = x-5
ten yrs later tanay's age =x+10
according to the question.,
=(x-5)(x+10)=16
=x^2 +10x-5x-50=16
=x^2+5x-66=0
=x^2+11x-6x-66=0
=x (x+11)-6 (x+11)=0
=(x-6)(x+11)=0
=x=6 or x=-11
since age is positive tanay's present age =6yrs
five yrs ago tanay's age = x-5
ten yrs later tanay's age =x+10
according to the question.,
=(x-5)(x+10)=16
=x^2 +10x-5x-50=16
=x^2+5x-66=0
=x^2+11x-6x-66=0
=x (x+11)-6 (x+11)=0
=(x-6)(x+11)=0
=x=6 or x=-11
since age is positive tanay's present age =6yrs
Anonymous:
hope it helps us!!!
Answered by
11
Tanay's present age is 6 years
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