Question

He difference of 2 positive numbers is 81 and quotient obtained on dividing the one by the other is 9. Find the first number.

Answer 1

x-y=81  and  x/y=9

implies that, x=9y

9y-y=81

8y=81

y = 81/8

y= 10.125

therefore the first number is 10.125

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Answer 2

Answer:

The first number will be 91.125.

Step-by-step explanation:

Step 1

Let the first number be x and the second number be y.

Given

The difference between the 2 positive numbers is 81.

So, x-y=81

The quotient obtained on dividing the one by the other is 9.

So, $\frac{x}{y}=9$

Step 2

Simplify the equation above.

x=9y

Substitute the value of x in the equation x-y=81.

9y-y=81

8y=81

y=$\frac{81}{8}$

Step 3

Substitute the value of y in the equation x-y=81.

x-$\frac{81}{8}$=81

x=81+$\frac{81}{8}$

x=91.125

Hence, the first number is 91.125