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Question
Amina thinks of a number and subtracts `5/2` from it. She multiplies the result by 8. The result now obtained is 3 times the same number she thought of. What is the number?
Solution
Let the number be x.
According to the given question
`8(x - 5/2) = 3x`
8x − 20 = 3x
Transposing 3x to L.H.S and −20 to R.H.S, we obtain
8x − 3x = 20
5x = 20
Dividing both sides by 5, we obtain
x = 4
Hence, the number is 4.
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