Problema Solution
Find four consecutive even integers such that if the sum of the first and the third is multiplied by 3, the result is 10 greater than 5 times the fourth
Answer provided by our tutors
Let the four consecutive even integers be:
2x - 2, 2x, 2x + 2, 2x + 4,
where x is integer.
The sum of the first and the third is multiplied by 3, the result is 10 greater than 5 times the fourth:
(2x - 2 + 2x + 2)*3 = 10 + 5*(2x + 4)
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x = 15
2*15 - 2 = 28
The four consecutive even integers are: 28, 30, 32 and 34.