A man sold half of his land he gave 1/3of remaining to his son and 1/4 of the balance to his daughter what fraction of his land is now left with him
Answers
Answer:
1/24
Step-by-step explanation:
⇒ Man sold half of the land.
∴1/2 of the land is remaining.
⇒ He gave remaining 1/3 to his son.
=
∴1/6 of the land is remaining.
⇒ He gave 1/4 of the balance to his daughter.
=
∴1/24 of the land is remaining.
The man had 1/24 of the land remaining with him.
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Step-by-step explanation:
let's assume man's land as 1.
land sold by him = half of his land (i.e. 1/2)
so land left with him =1/2
A/Q,
Share of his son =1/3 of 1/2
=1/6
Share of his daughter = 1/4 of (1/2 - 1/6)
= 1/4 × 2/6
= 1/12
Land left with him = land sold - share of son - share of
daughter
= 1/2 - 1/6 - 1/12
= 6 - 2 - 1/12
= 3/12
= 1/4