## Find the value of unknown in math puzzle / riddle:

We have four equations & we need to find the value of three unknown shapes: Triangle, Circle & Square. We have three unknowns & we have been given four equations so it is easy to find the values of unknown shapes & then put all values in the final equation to calculate the expression.

Find value of unknown in math puzzle

Let’s get started:

### Given:

#### Equation 1:

Triangle + Triangle + Triangle = 30

#### Equation 2:

Triangle + Circle + Circle = 20

#### Equation 3:

Circle + Square + Square = 13

### To find:

#### Equation 4:

Triangle + Circle x Half Square = ?

### Solution:

First Equation:

Triangle + Triangle + Triangle = 30
3 Triangle = 30
Triangle = 10

Second Equation:

Triangle + Circle + Circle = 20

Put value of triangle in above equation.
10 + 2 Circle = 20
2 Circle = 10
Circle = 5

Equation 3:

Circle + Square + Square = 13

Put value of circle in above equation.
5 + 2 Square = 13
2 Square = 8
Square = 4

Finding the value of unknown expression:

Triangle + Circle x Half Square = ?

Putting values of Triangle, Circle & Square in above equation:

10 + 5 X 4 / 2 = Answer

We need to solve this equation by applying PEMDAS. Multiplication will be solved first.

10 + 20 / 2 = Answer