The sum of two number is 118 and their difference is 16.find the numbers?

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Answer 1 · 2018-05-16T13:00:53

#51# and #67#

# x + y = 118 #
# x - y = 16 #

solve for #x# in terms of #y#

# x - y +y = 16 +y #

# x = 16 +y #

Put #16 + y# in the first equation in place of #x#

# 16 + y + y = 118 # Combine #y#'s

# 2y + 16 = 118 # Subtract #16# from both sides

# 2y + 16 - 16 = 118 - 16# this gives

# 2y = 102# divide both sides by #2#

# 2y/2 = 102/2# so

# y = 51 #

# x = 16 +y #

# x = 16 + 51#

#x = 67#