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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?

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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?

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Let the number be x,

According to the question,

(x – \(\frac{5}{2}\)) × 8 = 3x

⇒ 8x – \(\frac{40}{2}\)  = 3x

⇒ 8x – 3x = \(\frac{40}{2}\)

⇒ 5x = 20

⇒ x = 4

Thus, the number is 4.

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