Correct Answer - Option 1 : 72
Given:
The difference between the two numbers is 56
When the greater number is divided by the smaller number the quotient and the remainder are 7 and 8 respectively
Formula used:
Dividend = Divisor Quotient + Reminder
Given:
Let the greater number and the smaller number be x and y respectively
According to question,
x - y = 56 ----(1)
And, x = y × 7 + 8
x - 7y = 8 ----(2)
Subtract (2) from (1), we get
⇒ 6y = 48
⇒ y = 8
Put value of (y) in (1), we get
⇒ x - 8 = 56
⇒ x = 64.
Now, we have to find the value of x + y
⇒ 64 + 8 = 72.
∴ The sum of these numbers is 72.