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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.

Sagot :

maw1992

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]

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