Question

12. Father wants to divide 50 acre land between his sons, Mohan and Sohan in the ratio of
their
ages.
If
age of Mohan is 30 years and age of Sohan is 20 years, find how much acre
of land Mohan and Sohan will get?
​

Answer 1

$mohan \: age:sohan \: age$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 30 : 20$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 3 : 2$

$let \: mohan \: part \: from \: land \: be = 3x$

$and \: sohan \: part \: from \: land \: be = 2x$

$\: \: \: \: \: \: according \: to \: question$

$\: \: \: \: \: \: \: \: \: \: 3x + 2x = 50$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 5x = 50$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{x = 10}$

$mohan \: part \: = 3x = 3 \times 10 = 30acres$

$sohan \: part \: = 2x = 2 \times 10 = 20acres$

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Answer 2

mohanage:sohanage

\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 30 : 2030:20

\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 3 : 23:2

let \: mohan \: part \: from \: land \: be = 3xletmohanpartfromlandbe=3x

and \: sohan \: part \: from \: land \: be = 2xandsohanpartfromlandbe=2x

\: \: \: \: \: \: according \: to \: questionaccordingtoquestion

\: \: \: \: \: \: \: \: \: \: 3x + 2x = 503x+2x=50

\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 5x = 505x=50

\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{x = 10}

x=10

mohan \: part \: = 3x = 3 \times 10 = 30acresmohanpart=3x=3×10=30acres

sohan \: part \: = 2x = 2 \times 10 = 20acressohanpart=2x=2×10=20acres