Question

 farmer decides to divide 150 acres of his land between two of his sons in the ratios of the number of children each of them has. If the older son has 2 children and the younger son 3, what is the size of the land each son gets?(in acres)



older son 60, younger son 50

older son 50, younger son 70

older son 60, younger son 90

older son 90, younger son 60

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Answer 1

Answer:

older son 60, younger son 90

Step-by-step explanation:

since the ratio of no. of children is 2:3.

Let the common ratio be K

therefore, the ratio is 2K:3K

2K+3K=150

5K=150

K=150/5 , K=30

the older son gets=2K=2*30=60

the younger son gets=3K=3*30=90

HOPE YOU HAVE UNDERSTOOD

Answer 2

Area of land with a farmer =150 acres

Ratio of the number of children with the older son to the number of children with the younger son =2:3

Which means :-

(i) Size of land the older son will get :-

$= \frac{2}{5} \times 150$

$= \frac{300}{5}$

$=\bold{ 60 \: acres}$

Thus, the size of land the older son gets =60 acres

(ii) Size of land the younger son will get :-

$= \frac{3}{5} \times 150$

$= \frac{450}{5}$

$=\bold{ 90 \: acres}$

Thus, the size of land the younger son gets =90 acres

Therefore, the correct option is :-

(c) older son 60, younger son 90