Three daughters and two sons inherit land from their parents. The olde

Question

Three daughters and two sons inherit land from their parents. The older son inherits 1/4 of the land and the oldest daughter inherits 1/3. The three remaining children equally share the remaining land. What fraction of the land does the younger son inherit?

(A) 1/12
(B) 5/36
(C) 5/21
(D) 7/36
(E) 7/21

(A) 1/12
(B) 5/36
(C) 5/21
(D) 7/36
(E) 7/21

BrentGMATPrepNow · Answer

For this question it might be useful to assign a "nice" value to the area of the land being distributed among the children.

Let's say there's   36   acres of land.

The older son inherits 1/4 of the land and the oldest daughter inherits 1/3   
1/4 of   36   = 9, so the older son inherits 9 acres of land
1/3 of   36   = 12, so the oldest daughter inherits 12 acres of land

So the area of the land remaining =   36   - 9 - 12 =   15   acres

The three remaining children equally share the remaining land.    
So the three remaining children are equally sharing the remaining   15   acres 
This means each of those remaining children receives 5 acres

What fraction of the land does the younger son inherit?   
The younger son receives 5 acres out of the original   36   acres

Fraction = 5/  36

Answer: B

ShahadatHJ · Answer

Total Land =  X 
Oldest Son inherits  \frac{X}{4}  and oldest daughter  \frac{X}{3} , so remaining  X - \frac{X}{3} - \frac{X}{4} = \frac{5X}{12} 
The other 3 equally shared remaining land, so, (5X/12)/3= \frac{5X}{36} . Simplifying from  X  we get  \frac{5}{36} 
Ans. B

yasharoraa · Answer

The total land (1) is to be divided among 5 children.

Two of the children got 1/4th and 1/3rd of the land, i.e.,
The remaining land to be divided among the remaining three children =  1 - 1/4 - 1/3 
For solving fractions, take common denominator which makes equation =  12/12- 3/12 - 4/12 
Thus, remaining land =  5/12

Now, we need to find the land allotted to the younger son and we are given that the remaining three children (apart from the oldest son and the oldest daughter) get the same amount of the remaining land.

So, the amount of land that younger son gets =  5/12 * 1/3  =  5/36

Hence, the answer is  B) 5/36

bumpbot · Answer

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Three daughters and two sons inherit land from their parents. The olde

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