Question 1
Amina thinks of a number and subtracts $\frac{5}{2}$ 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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Solution

Let Amina think a numberx.
According to the question, $8 (x - \frac{5}{2}) = 3 x$
$\Rightarrow 8 x - \frac{8 \times 5}{2} = 3 x \Rightarrow 8 x - 4 \times 5 = 3 x$
$\Rightarrow 8 x - 20 = 3 x \Rightarrow 8 x - 3 x = 20$
$\Rightarrow 5 x = 20 \Rightarrow x = \frac{20}{5} = 4$

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Replacement and Solution Set

Standard VII Mathematics

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Question 1 Amina thinks of a number and subtracts 52 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?

Let Amina think a numberx. According to the question, 8(x−52)=3x ⇒8x−8×52=3x⇒8x−4×5=3x ⇒8x−20=3x⇒8x−3x=20 ⇒5x=20⇒x=205=4

Question 1
Amina thinks of a number and subtracts $\frac{5}{2}$ 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?

Let Amina think a numberx.
According to the question, $8 (x - \frac{5}{2}) = 3 x$
$\Rightarrow 8 x - \frac{8 \times 5}{2} = 3 x \Rightarrow 8 x - 4 \times 5 = 3 x$
$\Rightarrow 8 x - 20 = 3 x \Rightarrow 8 x - 3 x = 20$
$\Rightarrow 5 x = 20 \Rightarrow x = \frac{20}{5} = 4$