Question #eea54

1 Answer
Mar 17, 2016

#a + (a - 14) = 34#, so #2a = 48 and a = 24#, #24-14 = 10# so the two numbers are 10 and 24.

Explanation:

The sum of the two numbers is 34 and their difference is 14, so we can say:

#a + b = 34# and then substitute #(a-14)# for #b#.

This gives us #a + (a - 14) = 34# which leads to #2a = 48#. Dividing both sides by 2 we then have #a = 24#. Then putting #24# in for #a# in #(a - 14)# we find that #b = 10#. By substituting #24# and #10# for #a# and #b# we see that this is true. #24 + 10 = 34# and the difference between #24# and #10# is #14#.