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The sum of two numbers is 146. The larger number is sixteen less than five times the smaller number. Find both numbers.

2 Answers

2 votes

Answer:

The smaller number be 27 and larger number be 119

Explanation:

The sum of two numbers is 146.

Let smaller number be 'x' and larger number be 'y'.


x+y=146

The larger number is sixteen less than five times the smaller number.


y=15x-16

Subsitute
5x-16 for
y in
x+y=146.


x+5x-16=146\\6x=146+16\\6x=162\\x=27


27+y=146\\y=146-27\\y=119

answered
User Taehyun Park
by
7.8k points
6 votes

Answer:

119 and 27

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

answered
User Quannt
by
7.8k points

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