SOLUTION: One number is bigger than another by 406. If the bigger number is divided by the smaller one, you値l get the quotient 3 and remainder 66. Find the numbers.

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Question 1022200: One number is bigger than another by 406. If the bigger number is divided by the smaller one, you値l get the quotient 3 and remainder 66. Find the numbers.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
One number is bigger than another by 406.
If the bigger number is divided by the smaller one, you値l get the quotient 3 and remainder 66.
Find the numbers.
:
a & b are the numbers
" One number is bigger than another by 406."
b = a - 406
" If the bigger number is divided by the smaller one, you値l get the quotient 3 and remainder 66."
%28%28a-66%29%29%2Fb = 3
3b = a - 66
replace b with (a-406)
3(a-406) = a - 66
3a - 1218 = a - 66
3a - a = 1218 - 66
2a = 1152
a = 1152/2
a = 576 is one number,
then
b = 576 - 406
b = 170
:
You can check this for yourself using long division; 170|576