SOLUTION: Q. (((One number is 1 more than another doubled. If their difference is 10, find the number (use algebra))).
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Question 182525: Q. (((One number is 1 more than another doubled. If their difference is 10, find the number (use algebra))).
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Let x = "one number"
Let y = "another number"
:
"One number is 1 more than another doubled."
x = 2y + 1
:
If their difference is 10, find the number
x - y = 10
:
Substitute (2y+1) for x in the above equation, find y
2y + 1 - y = 10
2y - y = 10 - 1
y = 9
:
x = 2y + 1
x = 2(9) +1
x = 19 is "the number"
;
;
Check solution in the statement:
"One number is 1 more than another doubled"
19 = 2(2) + 1
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