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Rs. 480 is divided equally among 'x' children. If the number of children were 20 more, then each would have got Rs. 12 less. Find 'x'. - Mathematics

Sum

Rs. 480 is divided equally among 'x' children. If the number of children were 20 more, then each would have got Rs. 12 less. Find 'x'.

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Solution

Total amount = Rs. 480
Let the number of children be x.
The amount each children got = `480/"x"`
when the number of children were 20,
amount of each children = `480/("x"+20)`
From the given information, we have:

`480/"x"-480/("x"=12)=12`

`(480"x"+480xx20-480"x")/("x"("x"+20))=12`

`9600/("x"("x"+20))=12`

`800/("x"("x"+20))=1`

x2 + 20x - 800 = 0
x2 + 40x - 20x - 800 = 0
x(x + 40) - 20(x + 40) = 0
(x - 20)(x + 40) = 0
x = 20, -40
Since, number of children cannot be negative. So, x = 20
Number of children = 20

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APPEARS IN

Selina Concise Maths Class 10 ICSE
Chapter 6 Solving (simple) Problems (Based on Quadratic Equations)
Exercise 6 (E) | Q 16 | Page 79
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