Question 646686
no trick. just apply algebra:
"find two consecutive even integers such that the lesser added to 3 times the greater gives a sum of 46."
.
Let x = lesser of two consecutive even integers
then
x+2 = greater of two consecutive even integers
.
From:"the lesser added to 3 times the greater gives a sum of 46"
x + 3(x+2) = 46
x + 3x+6 = 46
4x+6 = 46
4x = 40
x = 10 (lesser)
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Greater:
x+2 = 10+2 = 12
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answer: 10 and 12