Question

The sum of two integers is 74. The larger is 26 more than twice the smaller. Find the two integers?

Answer 1

`16" and "58`

Explanation:

`"let the smaller of the two integers be "x`

`"then "2xlarrcolor(blue)"twice the smaller"`

`"and "2x+26larrcolor(blue)"26 more"`

`x+2x+26=74larrcolor(blue)"sum of 2 integers"`

`3x+26=74`

`"subtract 26 from both sides"`

`3x=48`

`"divide both sides by 3"`

`x=48/3=16`

`2x+26=(2xx16)+26=32+26=58`

`"the 2 integers are "16" and "58`

Answer 2

Let... the smaller integer be `x`

Then, the larger integer is `2x+26`(Two times.. `=2x`, 26 more... is `=2x+26`

Both added is `74`

`c+2x+26=74`

`3x=74-26`

`3x=48`

`color(red)(x=16`

Then... the larger integer is `2x+26`

Put value of `x`

`2xx16+26`

`32+26`

`color(red)58`