Question

Arun thinks of a number and subtracts 8/5 from it. He multiplies the result by 10. The result now obtained is 6 times the same number he thought of. What is the number?

Answer 1

Answer:

Solution:

Let Amina think a number x.

According to the question, 8\left(x-\frac{5}{2}\right)=3x8(x−

2

5

)=3x

\Rightarrow\ 8x-\frac{8\times5}{2}=3x⇒ 8x−

2

8×5

=3x

\Rightarrow\ 8x-4\times5=3x⇒ 8x−4×5=3x

\Rightarrow8x-20=3x⇒8x−20=3x

\Rightarrow8x-3x=20⇒8x−3x=20

\Rightarrow5x=20⇒5x=20

\Rightarrow x=\frac{20}{5}=4⇒x=

5

20

=4

Hence, the number is 4.

Step-by-step explanation:

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