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  1. Of three numbers, the first is 4 times the second and 3 times the third. If the average of all the three numbers is 95, what is the third number ?
    1. 76
    2. 60
    3. 130
    4. 57
Correct Option: B

Let the third number be p,
∴ First number = 3p

∴ Second number =
3p
4

According to the question, 3p +
3p
+ p = 3 × 95
4

12p + 3p + 4p
= 285
4

⇒ 19p = 285 × 4
285 × 4
= 60
19

Aliter : Using Rule 15,
Here, a = 4, b =
3
, X = 95
4

Third Number =
3
X
1 + b + ab

Third Number = 3× 95
1 +
3
+ 4 ×
3
44

Third Number =
3 × 4
× 95 = 60
4 + 3 + 12



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