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

1.	Five year hence the age of jacob will be three times that ohG sin
Answer» \xa0Let x (in years) be the present age of Jacob\'s son\xa0and y (in years) be the present age of Jacob. 5 years hence, it has relation:(y + 5) = 3(x + 5)or, y + 5 = 3x + 153x + 15 - y - 5 = 0or, 3 x - y + 10 = 0 .......(i)5 years ago, it has relation(y - 5) = 7(x - 5)y - 5 = 7x - 35or, 7x - 35 - y + 5 = 0or, 7 x - y - 3 0 = 0 ....(ii)From eqn. (i), y = 3x + 10 ....(iii)On substituting the value of y in eqn. (ii), we get7x-(3x + 10) - 30 = 07x - 3x - 10 - 30 = 0or, 4x - 40 = 0or, 4x = 40x=10On substituting x = 10 in eqn. (iii),{tex}y = 3 \\times 10 + 10{/tex}y = 30 + 10{tex}\\therefore {/tex}\xa0y = 40Hence, the present age of Jacob = 40 years and son\'s age = 10 years

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