Question

27 years hence Sanjay's age will be square of what it was 29 years ago.Find the present age​

Answer 1

let the present age of Sanjay be x yrs.

27 yrs. hence , his age 27+x yrs.

29 yrs.ago, his age 29-x yrs.

now,x+27=(x-29)^2

x+27=x^2+841-58x

x^2-58x-x+841-27=0

x^2-59x+814=0

x^2-37x-22x+814=0

x(x-37)-22(x-36)=0

(x-33)(x-22)=0

x-33=0,x-22=0

x=33,x=22

Answer 2

The present age of Sanjay can be 37 or 22

Step-by-step explanation:

Let the present age of Sanjay be x

Sanjay's age after 27 years = x+27

Sanjay's age 29 years ago = x-29

We are given that 27 years hence Sanjay's age will be square of what it was 29 years ago

$x+27=(x-29)^2$

$x+27=x^2+841-58x$

$x^2+841-27-58x-x=0$

$x^2+814-59x=0$

(x-37)(x-22)=0

So, x=37,22

Hence The present age of Sanjay can be 37 or 22

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