Question

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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.

Answer 1

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`

Answer 2

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