Question

A+A+A = 24 A+B =20 2B + C =30 A+B+C=???

Answer 1

Answer:  The value of A+B+C= 26

Step-by-step explanation:

Given are the 3 equations,

i)A+A+A = 24

ii)A+B =20

iii)2B + C =30

To find: A+B+C

From (i) A+A+A = 24

i.e, 3A = 24

Dividing 3 from both sides, we get,

A = 8

Now, from (ii) A+B = 20

Putting the value of A in the above equation, we get,

8 + B = 20

Subtracting 8 on both sides, we get,

8 + B - 8 = 20 - 8

∴ B = 12

Now, from (iii) 2B + C =30

Putting the value of B in the above equation, we get,

2(12) + C =30

∴ 24 + C = 30

Subtracting 24 on both sides, we get,

24 + C -24 = 30 - 24

∴ C = 6

Now, we need to find the value of

A+B+C,

Putting the values of A,B,and C in the above equation, we get,

8 + 12 + 6 = 26

Hence the required sum is 26.