Question

What number increased by 15% equal 161

Answer 1

`\Large\boxed{140}`

Explanation:

`\sf Let \ x \ be \ the \ number.`

`\sf x \ increased \ by \ 15\% \ is \ 161.`

`x * (1+15\%)=161`

`x * (1+0.15)=161`

`x * (1.15)=161`

`\displaystyle (x * (1.15))/(1.15)=(161)/(1.15)`

`x=140`

Answer 2

100%+15% = 115%

proportionally:

x - 100%

161 - 115%

x = (161 * 100%) / 115% = 140