Correct Answer - Option 3 : 10, 17
Given:
Difference between two numbers is 7
Six times the smaller + larger is 77
Calculation:
Let the numbers be x and y respectively,(x > y)
⇒ x – y = 7,
⇒ x = 7 + y
According to the question,
⇒ x + 6y = 77
Putting the value of x in the above equation,
⇒ 7 + y + 6y = 77
⇒ 7 + 7y = 77
⇒ 7y = 77 – 7
⇒ y = 10
Putting the value of y,
⇒ x = 10 + 7
⇒ x = 17
∴ The numbers are 17 and 10.
