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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

#### 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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