Question 466237
"Twice the greater of two consecutive odd numbers is 13 less than three times the lesser. Find the integers."


x = 1st odd integer
x + 2 = 2nd odd integer {odd numbers increase by 2 each time}


2(x + 2) = 3x - 13 {twice the greater is 13 less than three times the lesser}
2x + 4 = 3x - 13 {used distributive property}
4 = x - 13 {subtracted 2x from both sides}
x = 17 {added 13 to both sides}
x + 2 = 19 {substituted 17, in for x, into x + 2}


17 and 19 are the two odd integers
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