Question

The sum of three numbers is 136. If the ratio between first and second is 2:3 and that between second and third is 5:3. Find the second number.

Answer 1

GIVEN ;-

⇒ Sum of three numbers = 136

⇒ Ratio between first and second number = 2 : 3

⇒Ratio between second and third number  = 5 : 3

TO FIND ;-

⇒ What is the second number = ?

SOL ;-

⇒ Let us  first find the ratio between A : B and B : C,

 

                  ⇒ A : B =  2 : 3

                  ⇒ B : C =  5 : 3

⇒ Now A : B and B : C is -

         ⇒ 2 : 3 and 5 : 3

         ⇒ 5 × 3 / 5         :          3 × 3  / 5

        ⇒ 3 : 9 / 5 is the ratio  of  B : C

And the ratio between all the three number is - 

                      ⇒ A : B : C

                      ⇒ 2 ; 3 ; 9 / 5

                      ⇒ 10 : 15 : 9

Now we can find the second number-

⇒ So the second number =136 × 15 / 34 = 60

            SECOND NUMBER = 60