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? Pls ans this question with solving/./././ Fastest and correct answer would be marked as brainliest

Answer 1

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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Answer 2

★ Solution :

Let the the unknown number be x

$by \: following \: steps \\ \\ \\ x - \frac{5}{2} \\ \\ \\ \left( x - \frac{5}{2}\right) \times 8 \\ \\ \\ result \: obtained = 3x \\ \\ \\ by\: equating \\ \\ \\ \left(x - \frac{5}{2}\right) \times 8 = 3x \\ \\ \\ \left( \frac{2x -5}{2}\right) \times 8 = 3x \\ \\ \\ \frac{16x - 40}{2} = 3x \\ \\ \\ by \: cross \: multiplication \\ \\ \\ 16x - 40 = 6x \\ \\ \\ 16x - 6x = 40 \\ \\ \\ 10x = 40 \\ \\ \\ x = \frac{\cancel{40}}{\cancel{10}}$

${\pink{\boxed{x = 4}}}$

★ Verification :

$4 - \frac{\cancel{5}}{\cancel{2}} \\ \\ \\ 4 - 2.5 = 1.5 \\ \\ \\ 1.5 \times 8 = 12 \\ \\ \\ 3x = 3 \times 4 = 12 \\ \\ \\ 12= 12 \\ \\ \\ hence \: verified$