SOLUTION: One number is less than twice the other number.if the larger number is divided by the smaller number, the quotient is 1 and the remainder is 2. Find the numbers.(let x be the small

Algebra ->  Inverses -> SOLUTION: One number is less than twice the other number.if the larger number is divided by the smaller number, the quotient is 1 and the remainder is 2. Find the numbers.(let x be the small      Log On


   

Question 1044358: One number is less than twice the other number.if the larger number is divided by the smaller number, the quotient is 1 and the remainder is 2. Find the numbers.(let x be the smaller number)
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
y = the larger number
x = the smaller
:
Write an equation for each phrase
:
One number is less than twice the other number.
y < 2x
if the larger number is divided by the smaller number, the quotient is 1 and the remainder is 2.
%28%28y-2%29%29%2Fx = 1
therefore
y - 2 = x
y = x + 2
:
replace y in the 1st equation
x + 2 < 2x
2 < 2x - x
2 < x
Assume x = 3, then y = 5
:
Check this in the statement
" if the larger number is divided by the smaller number, the quotient is 1 and the remainder is 2."
5%2F3 = 1 remainder 2