SOLUTION: one number is 11 more than another number. Find the two number if three times the larger exceeds four times th smaller number by 4. this is from the textbook ISBN 9789710438013

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Question 117395: one number is 11 more than another number. Find the two number if three times the larger exceeds four times th smaller number by 4.
this is from the textbook ISBN 9789710438013

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Write an equation or expression for each statement
:
"one number is 11 more than another number."
From this statement we can say:
x = another number
and
(x+11) = one number
:
Find the two number if
" three times the larger exceeds four times th smaller number by 4."
3(x + 11) = 4x + 4
:
3x + 33 = 4x + 4
:
33 - 4 = 4x - 3x
:
x = 29
;
The two numbers are 29 & 40
;
:
Check solutions using the statement:
"three times the larger exceeds four times th smaller number by 4."
3(40) = 4(29) + 4
120 = 116 + 4
:
How about this? Did this simplify things for you?