Question

Anant thinks of a number and subtracts 5/2 from it. He multiplies the result by 8. The resurt now obtained is 3 times the same number he thought of. What is the number?​

Answer 1

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Answer 2

Answer:

4

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Step-by-step explanation:

Given that Anant thinks of a number and subtracts 5/2 from it. He multiplies the result by 8. The result now obtained is 3 times the same number he thought of.

We need to find out the number.

Assumption: Let's say that the number that Anant thought is x.

"Anant thinks of a number and subtracts 5/2 from it." As the thought number is x. So, subtract 5/2 from it.

As per given statement,

→ x - 5/2

"Later he multiplies the resultant by 8". From above resultant is (x - 5/2) multiply it with 8.

→ 8(x - 5/2)

"The resurt now obtained is 3 times the same number he thought of." From above resultant number is 8(x - 5/2) which is equal to 3 times the old number he thought i.e. x.

As per given statement,

→ 8(x - 5/2) = 3x

→ 8 × (2x - 5)/2 = 3x

→ 4(2x - 5) = 3x

Solve the brackets,

→ 8x - 20 = 3x

→ 8x - 3x = 20

→ 5x = 20

Divide by 5 on both sides,

→ 5x/5 = 20/5

→ x = 4

Therefore, the number that Anant thought was 4.