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Answer:
119 and 27
Step-by-step explanation:
(5x - 16) + x = 146
6x - 16 = 146
6x = 162
x = 162/6 = 81/3 = 27
5(27) - 16 = 135 - 16 = 119
119 + 27 = 146
119 and 27
Answer:
The smaller number be 27 and larger number be 119
Step-by-step explanation:
The sum of two numbers is 146.
Let smaller number be 'x' and larger number be 'y'.
[tex]x+y=146[/tex]
The larger number is sixteen less than five times the smaller number.
[tex]y=15x-16[/tex]
Subsitute [tex]5x-16[/tex] for [tex]y[/tex] in [tex]x+y=146[/tex].
[tex]x+5x-16=146\\6x=146+16\\6x=162\\x=27[/tex]
[tex]27+y=146\\y=146-27\\y=119[/tex]