Sum of 3

Algebra Level 1


The answer is 15.

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3 solutions

Zach Abueg
Apr 11, 2017

Let a = a = pink circle, b = b = green square, and c = c = yellow star.

2 a + b = 7 2a + b = 7

2 b + c = 19 2b + c = 19

2 c + a = 19 2c + a = 19

Adding all of the equations yields:

3 a + 3 b + 3 c = 45 3a + 3b + 3c = 45

3 ( a + b + c ) = 45 3(a + b + c) = 45

a + b + c = 15 a + b + c = 15

Mohammad Khaza
Jul 13, 2017

suppose , circle = x ; square =y and star =z

so , 2x +y =7..........................(1)

      2y +z =19 ......................(2)

     2z +x =19.....................(3)

so, (1) + ( 2) + (3) =2x +y + 2y +z +2z +x =45

                      or, 3( x+y +z)    =45

                          or. x+ y +z  =15
Hana Wehbi
Apr 10, 2017

We can solve it using three equations with three unknowns.

Let each green square be x x

Let each red circle be y y

and each star be z z ,

then we have

2 y + x = 7 2y + x = 7 ,

2 x + z = 19 2x + z= 19 ,

2 z + y = 19 2z+ y= 19 . Solving this system yields y = 1 , x = 5 and z = 9 x + y + z = 15 y=1, x=5 \text{ and } \ z=9 \implies x+y+z=15

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