SOLUTION: one number is two less than a second number. If you take one-half of the first number and increase it by the second number, the result is at least 41. Find the least possible value

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Question 154400This question is from textbook
: one number is two less than a second number. If you take one-half of the first number and increase it by the second number, the result is at least 41. Find the least possible value for the second number. This question is from textbook

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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one number is two less than a second number. If you take one-half of the first number and increase it by the second number, the result is at least 41. Find the least possible value for the second number.
:
Write an equation for each statement:
"one number is two less than a second number.
x = "one number"
and
(x+2) = "a second number"
;
" If you take one-half of the first number and increase it by the second number, the result is at least 41."
.5x + (x+2) => 41
1.5x + 2 = 41
1.5x = 41 - 2
1.5x = 39
x = 39%2F1.5
x => 26
:
Find the least possible value for the second number.
:
Least value: 26 + 2 = 28
:
Check solution in statement
"one-half of the first number and increase it by the second number, the result is at least 41.
.5(26) + 28 = 41