Question
Find 3 consecutive odd numbers such that the sum of 5 times the smaller number a twice the larger number is 33 more than six times the median number.
Do not understand word problems. ..please help
Do not understand word problems. ..please help
Answers
I am going to call the middle number x, then the smaller is x-2, and the larger is x+2
Now just translate the English to Math:
the sum of ----> +
5 times the smaller ---> 5(x-2)
number a twice the larger ---> 2(x+2)
the sum of 5 times the smaller number a twice the larger number ---> 5(x-2)+2(x+2)
is ---> =
33 more than six times the median number --> 6x+33
5(x-2) + 2(x+2) = 6x + 33
5x-10+2x+4=6x+33
x = 39
the numbers are 37, 39, and 41
check:
5(37) + 2(41) = 267
6(39) + 33 = 267
My answer is correct
Now just translate the English to Math:
the sum of ----> +
5 times the smaller ---> 5(x-2)
number a twice the larger ---> 2(x+2)
the sum of 5 times the smaller number a twice the larger number ---> 5(x-2)+2(x+2)
is ---> =
33 more than six times the median number --> 6x+33
5(x-2) + 2(x+2) = 6x + 33
5x-10+2x+4=6x+33
x = 39
the numbers are 37, 39, and 41
check:
5(37) + 2(41) = 267
6(39) + 33 = 267
My answer is correct
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