Question

The product of Tanya's age 5 years ago and his age 10 years later is 16 determine his present age

Answer 1

Answer:

Step-by-step explanation:

let the present age of tanya be x

tanya's age 5 years ago= x-5

tanya's age ten years later= x+10

ATQ,

(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)

x=6

x= -11

as age can't be negative

therefore tanya's present age is 6 years

Answer 2

Answer:

11 years

Step-by-step explanation:

let the present age of tanya be x

tanya's age 5 years ago= x-5

tanya's age ten years later= x+10

ATQ,

(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)

x=6

x= -11

as age can't be negative

therefore tanya's present age is 11

Hope it helps you out.