Math, asked by helpingsrujan, 2 months ago

4. The product of Ajith's age (in years) five year ago with his age (in years) 9 years later is 15. Find Ajith's
present age.

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Answers

Answered by harshjaiswal63107
1

Let the present age of Ajith =x

3 years ago Ajith’s age =(x–3) years

5 years later Ajith’s age =(x+5) years.

Now, according to the condition,

(x–3)

1

+

(x+5)

1

=

3

1

(x–3)(x+5)

(x+5+x–3)

=

3

1

(x

2

–3x+5x–15)

(2x+2)

=

3

1

x

2

+2x–15=6x+6

x

2

–4x–21=0

(x+3)(x–7)=0

Either,x+3=0 Or, x–7=0

Thus, x=7 or –3; but age cannot be negative.

Hence the present age of Ajith is 7 years.

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