Question

sum of two number is 97 if the larger number is divided by the smaller, the quotient is 7 and the remainder is 1 find the number​

Answer 1

Answer: 85,12

Step-by-step explanation:

Let the two numbers be x and y respectively .

Then x + y = 97

=> x = 97 - y             (i)

Assuming x > y , then

$\frac{x}{y} = 7\frac{1}{y}$

=> $\frac{x}{y} = \frac{7y + 1}{y}$

=> xy = y(7y + 1)

=> x = 7y + 1

Substituting x from (i) , we get :-

97 - y = 7y + 1

=> 96 = 8y

=> y = 12

So x = 97 - 12 = 85

Hence the numbers are 85,12

Hope this helps you.

Please mark this Brainliest .