Question

5/6 of a number is 10 less than the number itself . find the number

Answer 1

Answer:

The number is 60. Please mark my answer as brainliest if you like it.

Answer 2

Answer:

The required number is 60.

Step-by-step explanation:

Step 1 of 2

Let the number be y.

According to the question,

5/6 of a number is 10 less than the number itself, i.e.,

5/6 of y is 10 less than the number y.

Mathematically,

⇒ 5/6 of y = y - 10

⇒ 5/6 × y = y - 10 ____ (1)

Step 2 of 2

Find the value of y.

From the equation (1), we have

$\frac{5}{6}y$ = y - 10

Now, subtract y from both the sides as follows:

⇒ $\frac{5y}{6}-y$ = y - 10 - y

⇒ $\frac{5y-6y}{6}$ = -10

⇒ $-\frac{y}{6}$ = -10

Cross multiply the equation as follows:

⇒ -y = -10 × 6

⇒ -y = -60

⇒ y = 60

Final answer: The required number is 60.

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