three consecutive odd integers that the sum of twice the first and three times the second is 7 more the twice the third

Question

i need help i do not understand the english and need the answer i need help

Answer 1

Let's try to understand each part of the sentence.

Three consecutive odd integers --> This means three numbers as close to eachother on the number line but all odd. For example: 1, 3, 5.

Sum of twice the first & three times the second--> if the first integer is F and the second is S, you want 2F+3S

is 7 more than twice the third --> if the third is called T, then the sum from earlier is 7 + 2T. "More than" means addition.

So, put all of it together. 2F + 3S = 7 + 2T where F, S, T are three consecutive odd integers. This could also be written as 2F + 3S - 7 - 2T = 0, subtracting (7 + 2T from both sides).

The best way of doing this is guess and check to see which consecutive odd integers follow that equation:

F S T

1 3 5 Let's see if this works. 2(1) + 3(3) - 7 - 2(5) = -6, which isn't 0 so this isn't correct.

3 5 7 Let's see if this works. 2(3) + 3(5) - 7 - 2(7) = 0, which is correct!

So, your answer is 3, 5, 7.