SOLUTION: The sum of three numbers is 145. The third number is 4 times more than the second number. The first number is 7 more than the second. What are the numbers

Question 1076106: The sum of three numbers is 145. The third number is 4 times more than the second number. The first number is 7 more than the second. What are the numbers
Found 2 solutions by ankor@dixie-net.com, Alan3354:
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Three numbers: a, b, c
write an equation for each statement
"The sum of three numbers is 145."
a + b + c = 145
The third number is 4 times more the second number.
c = 4b
The first number is 7 more than the second.
a = b + 7
:
In the first equation, replace a with (b+7); replace c with 4b
(b+7) + b + 4b = 145
6b = 145 - 7
6b = 138
b = 138/6
b = 23
then
a = 23 + 7
a = 30
and
c = 4(23)
c = 92
;
;
Check this
30 + 23 + 92 = 145
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
The sum of three numbers is 145. The third number is 4 times more than the second number. The first number is 7 more than the second. What are the numbers
----------
Call the f, s & t for 1st, 2nd & 3rd
----
f + s + t = 145
t = 5s
f = s + 7
================
f + s + t = 145
s+7 + s + 5s = 145
7s + 7 = 145
7s = 138
s = 138/7
==========
f = s+7 = 187/7
t = 5s = 690/7
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