MATH SOLVE

3 months ago

Q:
# the sum of two numbers is 17. one number is 3 less than 2/3 of the other number. what is the lesser number?

Accepted Solution

A:

answer:the lesser number is 5.steps:Let the first number = xLet the second number = yset up two equationsx + y = 172/3 x -3 = ysub the second equation into the first onex + 2/3 x - 3 = 17collect like terms (1x = 3/3 x)5/3 x - 3 = 17add 3 to both sides5/3 x = 20multiply by 3 on both sides5x = 60divide by 5 on both sidesx = 12sub back in one of the equations and solve to find the other number:x + y = 1712 + y = 17y= 5the lesser number is 5•have a good day• :) ~ ♡lipika♡