Question

3/4 of a number increased by 1/2 is equal to 14.
find the number

Answer 1

21

Explanation:

14*2=28

28(3/4)=21

21/(3/4)=28

28/2=14

Answer 2

Answer: Second Option

18

Explanation:

`(3)/(4)` of a number is:

`(3)/(4)x`

`(3)/(4)` of a number is increased by
`(1)/(2)` is equal to 14

This is:

`(3)/(4)x+(1)/(2)=14`

Now we solve the equation for the variable x

`(3)/(4)x=14-(1)/(2)` → Subtract
`(1)/(2)` on both sides of the equation

`(3)/(4)x=(27)/(2)`

`x=(27)/(2)*(4)/(3)` → Multiply by
`(4)/(3)` on both sides of the equation

`x=9*2`

`x=18`