The sum of two numbers is 80. The larger number exceeds four times the

1.	The sum of two numbers is 80. The larger number exceeds four times the smaller one by 5. Find the numbers.
Answer» Let x be the first number and y be the second number. As per statement, x + y = 80 and x – 4y = 5 on subtracting both the equations, we get y = 15 From (1): x + 15 = 80 x = 80 – 15 = 65 Answer: Required numbers are 15 and 65.

The sum of two numbers is 80. The larger number exceeds four times the smaller one by 5. Find the numbers.

Answer»

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

As per statement,

x + y = 80 and

x – 4y = 5

on subtracting both the equations, we get

y = 15

From (1): x + 15 = 80

x = 80 – 15 = 65

Answer:

Required numbers are 15 and 65.