Question

if 9 is added to a number and the sum is multiple by 8 the result becomes 32 times the number. find the number ​

Answer 1

Answer:

The number is 3.

Step-by-step explanation:

Given :-

• If 9 is added to a number and the sum is multiplied by 8, the result becomes 32 times the number.

To find :-

• The number.

Solution :-

Let the number be x.

★ If 9 is added to the number,

Then,

• The number = (x+9)

★ The sum is multiplied by 8 , the result becomes 32 times the number.

According to the question,

$\to \sf \: 8(x + 9) = 32x \\ \\ \to \sf \: x + 9 = \dfrac{32x}{8} \\ \\ \to \sf \: x + 9 = 4x \\ \\ \to \sf \: x - 4x = - 9 \\ \\ \to \sf \: - 3x = - 9 \\ \\ \to \sf \: x = \dfrac{ - 9}{ - 3} \\ \\ \to \sf \: x = 3$

Therefore, the number is 3.

_______________

Verification :-

• Number = 3

If 9 is added to the number, the number becomes (3+9) = 12

According to the question,

8×12 = 32 × 3

→ 96 = 96

Hence Verified !

Answer 2

Answer:

✡ Question ✡

➡ If 9 is added to a number and the sum is multiple by 8 the result becomes 32 times the number. Find the number .

✡ Given ✡

➡ If 9 is added to a number and the sum is multiple by 8 the result becomes 32 times the number.

✡ To Find ✡

➡ The number

✡ Solution ✡

✏ Let the number be x.

the number be x. If 9 is added to the number, then the number will be = (x+9)

✏ The sum is multiplied by 8 , the result becomes 32 times the number.

▶According to the question,

=> 8(x+9) = 32x

=> x+9 = $\dfrac{32x}{8}$

=> x+9 = 4x

=> x-4x = -9

=> -3x = -9

=> x = $\dfrac{-9}{-3}$

=> x = $\bold{\large{\fbox{\color{blue} {3}}}}$

∴ The number is 3.

Step-by-step explanation:

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