The representation of an odd integer is 2n + 1. So the other consecutive odd integer will be 2n + 3,[(2n + 1) + 2]. Thus, we have:
2(2n + 3) + 13 = 3(2n + 1)
4n + 6 + 13 = 6n + 3 subtract 4n and 3 to both sides
16 = 2n divide by 2 to both sides
8 = n
2n + 1 = 2(8) + 1 = 16 + 1 = 17
2n + 3 = 2(8) + 3 = 16 + 3 = 19
Therefore, theses numbers are 17 an 19.
Check:
3(17) - 2(19) = 13 ?
51 - 38 = 13?
13 = 13 True
integers are x and x + 2, so x + 2 = 2x - 10 ie x = 12. Integers are 12 and 14
5872345098234783904672083946728390752430689723409687298290843 theres your answer
27, 29
They are (14, 15, 16).
Let the two odd numbers be n and n+2, then : 2(n + 2) + 13 = 3n 2n + 4 + 13 = 3n n = 17 The smaller of the two odd numbers is 17 and the larger number is 19.
integers are x and x + 2, so x + 2 = 2x - 10 ie x = 12. Integers are 12 and 14
5872345098234783904672083946728390752430689723409687298290843 theres your answer
-10 and -11.
55 and 57
27, 29
They are (14, 15, 16).
There are two consecutive odd numbers such that five times the smaller plus twice the greater is 25. What is the smaller number?
Let the two odd numbers be n and n+2, then : 2(n + 2) + 13 = 3n 2n + 4 + 13 = 3n n = 17 The smaller of the two odd numbers is 17 and the larger number is 19.
9 and 10 9 + 2(10) = 29
18, 20 and 22
4
Integers are n, n + 1 and n + 2, so 3n + 3 = 13 + 2n Subtract 2n from each side: n + 3 = 13 Subtract 3 from each side: n = 10 Job done.