Question

The sum of three numbers is 98. The ratio of the first to the second is 2/3, and the ratio of the second to the third is 5/8. The second number is:

(a) 15, (b) 20, (c) 30, (d) 32, (e) 33

Answer 1

Answer:

Let the first number be ni

Let the second number be n2 Let the third number be n3

= n2 Given that

ni

Given that n2

п3

Given that i + n2 + n3 = 98 (1)

Consider

ni

n2

Write this as 3n1

2 Soni

Consider n2 п3 5 8

Write this as 8n2

8 5^2 So n3

2 3

2n2

(2)

5n3

(3)Substitute (3) and (2) into (1) giving:

ni + n2 + n3

= 98

n2

n2

2

n 2 + n2 +

10 +1 + 24

15

30

Step-by-step explanation:

Hope it will help

Answer 2

Answer:

The answer will be option (b).