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Five year hence the age of jacob will be three times that oh G sin

Posted by Mukesh Kumar 6 years, 3 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 6 years, 3 months ago

Let x (in years) be the present age of Jacob's son and y (in years) be the present age of Jacob. 5 years hence, it has relation:

(y + 5) = 3(x + 5)
or, y + 5 = 3x + 15

3x + 15 - y - 5 = 0

or, 3 x - y + 10 = 0 .......(i)

5 years ago, it has relation

(y - 5) = 7(x - 5)

y - 5 = 7x - 35

or, 7x - 35 - y + 5 = 0

or, 7 x - y - 3 0 = 0 ....(ii)

From eqn. (i), y = 3x + 10 ....(iii)

On substituting the value of y in eqn. (ii), we get

7x-(3x + 10) - 30 = 0

7x - 3x - 10 - 30 = 0

or, 4x - 40 = 0

or, 4x = 40

x=10

On substituting x = 10 in eqn. (iii),

{tex}y = 3 \times 10 + 10{/tex}

y = 30 + 10

{tex}\therefore {/tex} y = 40

Hence, the present age of Jacob = 40 years and son's age = 10 years

1Thank You

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CBSE > Class 10 > Mathematics