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Rs. 480 is Divided Equally Among ‘X’ Children. If the Numbers of Children Were 20 More Then Each Would Have Got Rs. 12 Less. Find ‘X’. - ICSE Class 10 - Mathematics

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Question

Rs. 480 is divided equally among ‘x’ children. If the numbers of children were 20 more then each would have got Rs. 12 less. Find ‘x’.

Solution

The number of children = x.

The share of each child = Rs `480/x`

If number of children are x + 20, then share of each child = Rs `480/(x + 20)`

According to the given information,

`480/x - 480/(x + 20) = 12`

`=> 480(1/x - 1/(x + 20)) = 12`

`=> 480(20/(x(x + 20))) = 12`

`=> (480 xx 20)/12 = x(x + 20)`

`=> x^2 + 20x - 800 = 0`

`=> x^2 - 20x + 40x - 800 = 0`

`=> (x - 20)(x + 40) = 0`

`=> x = 20 or x = -40`

But, the number of children cannot be negative.

Therefore, x = 20

  Is there an error in this question or solution?

APPEARS IN

 2010-2011 (March) (with solutions)
Question 11.2 | 3.00 marks

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Solution Rs. 480 is Divided Equally Among ‘X’ Children. If the Numbers of Children Were 20 More Then Each Would Have Got Rs. 12 Less. Find ‘X’. Concept: Shares and Dividends.
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