Question : If A is greater than B by 7, B is greater than C by 16, and A + B + C is 255, then the value of 3A + C – 4B is:
Option 1: 5
Option 2: 10
Option 3: 8
Option 4: 4
Correct Answer: 5
Solution :
According to the question,
A = B + 7
B = C + 16
Then, C = B – 16
Putting the value of A and C in the given equation
A + B + C = 255
⇒ (B + 7) + B + (B – 16) = 255
⇒ 3B – 9 = 255
⇒ 3B = 255 + 9
⇒ 3B = 264
⇒ B = $\frac{264}{3}$ = 88
Since A = B + 7 = 88 + 7 = 95
And C = B – 16 = 88 – 16 = 72
Now value of 3A + C – 4B
= 3(95) + 72 – 4(88)
= 285 + 72 – 352
= 357 – 352
= 5
Hence, the correct answer is 5.
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