Question

Raju things of a number and subtract 5 by 2 from it he multiply the result by 8 the result now obtained is three times the same number be thought of what is the number ​

Answer 1

✬ Number = 4 ✬

Step-by-step explanation:

Given:

• Raju thinks a number.
• He subtracted 5/2 from it.
• He multiplied the result by 8.
• Final result is 3 times the original number.

To Find:

• What was the number ?

Solution: Let the number was x. Therefore,

➟ Subtracting 5/2 from x = (x – 5/2)

➟ Multiplying result by 8 = 8(x – 5/2)

A/q

• Final result is 3 times the original number.

$\implies{\rm }$ 3 times of x = 8(x – 5/2)

$\implies{\rm }$ 3x = 8(2x – 5/2)

$\implies{\rm }$ 3x = 16x – 40/2

$\implies{\rm }$ 3x(2) = 16x – 40

$\implies{\rm }$ 6x = 16x – 40

$\implies{\rm }$ 6x – 16x = – 40

$\implies{\rm }$ – 10x = – 40

$\implies{\rm }$ x = 40/10

$\implies{\rm }$ x = 4

Hence, the number he thought was 4.

_____________

★ Verification ★

➮ 3(4) = 8(4 – 5/2)

➮ 12 = 8(8 – 5/2)

➮ 12 = 8(3/2)

➮ 12(2) = 24

➮ 24 = 24

$\large\bold{\texttt {Verified }}$

Answer 2

⚜ Given :-

• Raju thinks of a number and subtracted 5 by 2 from it.

• Then, he multiplied the result by 8.

• The result now obtained is three times the same number.

⚜ To Find :-

• The Number.

⚜ Solution :-

Let,

The number be x.

So, According To Question, The Equation Formed :-

➨ 3x = 8(x-5/2)

➨ 3x = 8x - 5×4.

➨ 3x = 8x - 20.

➨ 3x - 8x = -20.

➨ -5x = -20.

➨ 5x = 20.

➨ x = 20/5

➨ x = 4.

Hence, The Number = 4.