Question

the average of a,11,23,17 is 15 and the average of a,b,12,25 is 16 . the value of a/b ?​

Answer 1

Value of a=9

Value of b=18

Answer 2

Answer:  the correct option is

(B) $\dfrac{1}{2}.$

Step-by-step explanation:  Given that the average of a, 11, 23, 17 is 15 and the average of a, b, 12, 25 is 16.

We are to find the value of $\dfrac{a}{b}.$

According to the given information, we have

$\dfrac{a+11+23+17}{4}=15\\\\\Rightarrow a+51=15\times4\\\\\Rightarrow a+51=60\\\\\Rightarrow a=60-51\\\\\Rightarrow a=9$

and

$\dfrac{a+b+12+25}{4}=16\\\\\Rightarrow 9+b+37=16\times4\\\\\Rightarrow b+46=64\\\\\Rightarrow b=64-46\\\\\Rightarrow b=18.$

Therefore, we get

$\dfrac{a}{b}=\dfrac{9}{18}=\dfrac{1}{2}.$

Thus, the required value of $\dfrac{a}{b}$ is $\dfrac{1}{2}.$

Option (B) is CORRECT.