Math, asked by siddhaarth, 1 year ago

☆+☆+○=25,○+○+□=12,□+□+☆=5,☆+○+□=? find the number

Answers

Answered by varandeepsahota
1
For convenience 
let star be x  ,  circle be y  ,  rectangle be z 
so , x + x + y = 25⇒ 2x + y =25                    eq.1 
y + y + z = 12 ⇒ 2y + z =12                          eq.2
z + z + x = 5 ⇒ 2z + x =5                              eq.3 

 from eq.1 
y = 25 - 2x
put this value in eq. 2 

2(25 - 2x) + z =12 ⇒ 50 - 4x  + z  = 12 ⇒ 4x - z  = 38       eq .  4 

now ,   z  = 4x - 38 

put this value in eq. 3

2(4x - 38)  + x  = 5⇒  8x - 76  + x = 5  ⇒  9x  = 5 + 76 = 81

x = 9  ,  put this in eq. 4 

   4x9 - z = 38 ⇒ z = 36 - 38 = -2 
z = -2 , put this in eq. 2 

2y + (-2) = 12 
⇒ 2y = 12 - 2 = 10 ⇒ y = 5 

y= 5 

hence , x= 9 , y =5 and z = -2 

so , x + y + z = 9+5-2 = 14 - 2 = 12 

so , answer is 12 

plzzz mark brainliest

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