Question

The sum of three numbers is 102. If the ratio between first and second be 2:3 and that between second and third be 5:3 then the second number is

Answer 1

let the 3 numbers be a, b, c .. So there sum is 102 .... therefore a+b+c= 102 therefore if ratio of first and second is 2:3 then a/b=2/3 so , a=2b/3 similarly c= 3b/5 So on adding a+b+c=102 or .... 2b/3+b+3b/5=102 So b will be= 45 and a= 30 and c= 27.........

Answer 2

The second number is 45

Step-by-step explanation:

Let the first , second and third number be x , y and z

The ratio between first and second be 2:3

So,$\frac{x}{y}=\frac{2}{3}\\x=\frac{2}{3}y$

The ratio between second and third be 5:3

So,$\frac{y}{z}=\frac{5}{3}\\z=\frac{3}{5}y$

The sum of three numbers is 102.

So, $\frac{2}{3}y+y+\frac{3}{5}y=102$

$\frac{34}{15}y=102$

$y=102 \times \frac{15}{34}$

$y=45$

Hence  the second number is 45

#learn more:

The sum of ages of three brothers is 102. If the ratio between the first and second is 2:3 and that of second and the third brother is 5:3. Then what will be the age of the elder brother?

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