Question

The sum of three numbers is 735. If the ratio of the first to second is 2 : 3 and that of the second to third is 5 : 8, then the second number is​

Answer 1

Answer:

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Step-by-step explanation:

Let the three parts be A, B, C. Then,

A : B = 2 : 3 and B : C = 5 : 8 = 5 x 3 : 8 x 3 = 3 : 24

5 5 5

A : B : C = 2 : 3 : 24 = 10 : 15 : 24

5

B = 98 x 15 = 30.

49

Answer 2

Solution :-

Let three numbers are x, y and z .

So,

→ x : y = 2 : 3

→ y : z = 5 : 8

then,

→ x : y : z = x * y : y * y : y * z = 2 * 5 : 3 * 5 : 3 * 8

→ x : y : z = 10 : 15 : 24

Now, let x , y and z are 10a , 15a and 24a ,

→ 10a + 15a + 24a = 735

→ 49a = 735

→ a = 15 .

therefore,

→ Second number = y = 15a = 15 * 15 = 225 (Ans.)

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