The sum of three numbers is 280. If the ratio between the first and se

1.	The sum of three numbers is 280. If the ratio between the first and second numbers is 2 : 3 and the ratio between second and third numbers is 4 : 5, find the second number.1. 962. 903. 804. 86
Answer» Correct Answer - Option 1 : 96 Given : The sum of three numbers is 280 The ratio of 1st to 2nd number is 2 : 3 and the ratio of 2nd to third number is 4 : 5 Concept used : If the ratio of x and y is a : b and the ratio of y and z is c : d then, x : y : z = a × c : c × b : b × d Calculations : Let the three numbers be p, q, and r p : q : r = 2 × 4 : 4 × 3 : 3 × 5 p : q : r = 8 : 12 : 15 Let the value of p, q and r be 8x, 12x and 15x respectively According to the question Sum of all the numbers is 280 so, 8x + 12x + 15x = 280 ⇒ x = 8 So, p = 64, q = 96 and r = 120 ∴ The second number will be 96

The sum of three numbers is 280. If the ratio between the first and second numbers is 2 : 3 and the ratio between second and third numbers is 4 : 5, find the second number.1. 962. 903. 804. 86

Answer» Correct Answer - Option 1 : 96

Given :

The sum of three numbers is 280

The ratio of 1st to 2nd number is 2 : 3 and the ratio of 2nd to third number is 4 : 5

Concept used :

If the ratio of x and y is a : b and the ratio of y and z is c : d then,

x : y : z = a × c : c × b : b × d

Calculations :

Let the three numbers be p, q, and r

p : q : r = 2 × 4 : 4 × 3 : 3 × 5

p : q : r = 8 : 12 : 15

Let the value of p, q and r be 8x, 12x and 15x respectively

According to the question

Sum of all the numbers is 280

so,

8x + 12x + 15x = 280

⇒ x = 8

So, p = 64, q = 96 and r = 120

∴ The second number will be 96

Discussion

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