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Question
Set up equation and solve them to find the unknown number in the following case:
Anwar thinks of a number. If he takes away 7 from `5/2` of the number, the result is 23.
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Solution
Let the number be x
`5/2` of this number = `(5x)/2`
`(5x)/2 - 7 = 23`
`(5x)/2 = 23 + 7` ...(Transposing -7 to R.H.S)
`(5x)/2 = 30`
Multiplying both sides by 2,
`(5x xx 2)/2`
= 30 × 2
5x = 60
Dividing both sides by 5,
`(5x)/5 = 60/5`
x = 12
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