The sum of two complementary angles is 90°. for one pair of complementary angles, the measure of the first angle is 15 less than twice the measure of the second angle. write a system of equations that can be used to determine the measure of the first angle, a, and the measure of the second angle, b.

A + b = 90
a = 2b - 15

2b - 15 + b = 90
3b - 15 = 90
3b = 90 + 15
3b = 105
b = 105/3
b = 35 <== second angle

a = 2b - 15
a = 2(35) - 15
a = 70 - 15
a = 55 <== first angle

Okay so n is going to represent our first number. since the second number of five times greater than n, the second number will be represented as 5n. for us to figure out the two  numbers we need to have  the value of n first. this is going to be done by adding the two numbers together, n and 5n. it can be simplified as 6n, which the problem states is equal to 72. divide 72 by 6n and you can solve for n.  n+5n=726n=72n=(72/6)n=12  now that we know the value of n, we have to multiply 5 times 12 which equals 60. so our two numbers/integers are 12 and 60