Question

Three people share 91500shs as following: the first gets three times as much as the second; the third gets twice as much as the other two combined. what is the size of the smallest share?

Answer 1

The share of first, second and third will be 22875, 7625 , 61000 respectively

Let the share of first, second and third on be x, y, z respectively

We know the total share between three friends = 91500

x+y+z = 91500 ....(i)

Then,

First gets share three times as much as second

x = 3y ......(ii)

Third gets share twice as much as the other two combined

z = 2(x+y) ......(iii)

Solving equation (i),(ii) and (iii) we get,

3y+y+2(3y+y) = 91500

12y = 91500

y = 7625

Similarly, putting value of y in (ii) and (iii) equation we get,

x = 22,875

z = 61,000

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