the sum of two numbers is 60. their difference is 6.

construct a system of equations and algebraically find the value of the smaller number.

3 answers

aa tysmm
also vivian is such a pretty name but its rare too
a + b = 60

a - b = 6

adding equations ... 2 a = 66 (b's cancel)

solve for a , then find b

Vivian's technique works
... but only in a case like this
x + y = 60
x - y = 6

x = 60 - y

60 - y - y = 6
-2y = -54

y = 27

x + 27 = 60
x = 33