Q:

The sum of two numbers is 39 . The larger number is 5 more than the smaller number. What are the numbers?

Accepted Solution

A:
the smaller and the larger number are 17 and 22 respectivelyStep-by-step explanation:let the numbers be x and yfrom the expression; The sum of two numbers is 39 means thatx + y=39let y be the smaller number and x be larger number.but from the expression The larger number is 5 more than the smaller is written asx=5+yput it in the first equation to get5+y+y=395+2y=392y=39-52y=34y=34/2y=17 put the y value in the equation to get the x valuethusx=5+yx=5+17x=22