One number is 27 less than another number What if the sum of

One number is 27 less than another number. What if the sum of the two number is 95, find the two numbers. What is the larger number?

Solution

let the two numbers are x and y

from the conditions, x=y-27 ----- equation (1)

x+y =95 ----- equation (2)

substitute equation (1) in equation (2)

we get

y-27 + y =95

2y = 95+27

2y = 122

therefore y=61

from equation (1)

x=y-27

x=61-27= 34

therefore the two numbers are x=34, y=61

61 is larger number