Problema Solution

Four times the smaller of two consecutive odd integers is the same as 73 less than 5 times the larger. Find the integer.

Answer provided by our tutors

4(2x + 1) = 5(2x + 3) - 73

8x + 4 = 10x + 15 - 73

8x + 4 = 10x - 58

8x = 10x - 62

-2x = -62

x = 31

so 2x + 1 = 2(31) + 1 = 62 + 1 = 63

so the integers are 63 and 65