Question

The sum of the two numbers is 97 if the greater number is divided by the smaller quotient is 7 and the remainder is 1 find the numbers

Answer 1

Let the larger number be x and smaller number be y.
As per the first given condition,
x + y = 97 ........eq. no. (1)
As per the second condition,
Dividend = Divisor × Quotient + Remainder
x = y × 7 + 1
∴ x = 7y + 1
∴ x – 7y = 1 .......(2)
Subtracting (2) from (1),
x + y = 97
x – 7y = 1
(-) (+) (-)
8y = 98
∴ y = 96/8
∴ y = 12
Substituting y = 12 in equation (1)
∴ x + y = 97
∴ x + 12 = 97
∴ x = 97 – 12
∴ x = 85

Answer 2

Step-by-step explanation:

refer the attachment.....