Question

when 9 is added to 10% of a number.it gives the number it self. find the number.bbye​

Answer 1

Answer:

⍟ Number is 10 ⍟

Step-by-step explanation:

Given:

• If 9 is added to 10% of a number it gives number itself

To Find:

• What is the number?

Solution: Let the number be x

• 10% of x = 10/100(x) = 10x/100=x/10

A/q

$\small\implies{\sf }$ x/10 + 9 = x

$\small\implies{\sf }$ 9 = x – x/10

$\small\implies{\sf }$ 9 = ( 10x – x/10)

$\small\implies{\sf }$ 9 = 9x/10

$\small\implies{\sf }$ 9(10) = 9x

$\small\implies{\sf }$ 90 = 9x

$\small\implies{\sf }$ 90/9 = x

$\small\implies{\sf }$ 10 = x

Hence, the number is x = 10

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★ Let's check ★

→ 10% of x + 9 = x

→ 10/100(10) + 9 = 10

→ 100/100 + 9 = 10

→ 1 + 9 = 10

→ 10 = 10

LHS = RHS

Answer 2

$\mathtt{ \huge{ \fbox{Solution :)}}}$

Given ,

• If 9 is added to 10% of a number , it gives a number itself

Let , the number be x

According to the question ,

$\sf \mapsto 9 + \frac{10x}{100} = x \\ \\\sf \mapsto 900 + 10x = 100x \\ \\\sf \mapsto 900 = 90x \\ \\\sf \mapsto x = 10$

Hence , the required number is 10

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