# The sum of three numbers is 136.if the ratio between first and second be 2:3 and that between second and third is 5:3,then the second number is?

2
by rockersvenky

2015-05-11T11:08:36+05:30

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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

pick s best if helpzz
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welcome dear
i think i did something wrong sorry
cool its ok
2015-05-12T11:44:00+05:30
Let three numbers be x, y and z
x : y = 2 : 3 = 5(2:3) =10 : 15
y : z = 5 : 3 = 3(5 : 3) = 15 : 9

So, x : y : z = 10 : 15 : 9
Sum of the numbers = 136
Second number, y = 15/34 × 136
= 15 × 4
= 60