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


what is the correct option and explain❤❤❤❤❤❤❤​

Answer 1

// Hell0 //

Answer:

❤ Correct 0ption is == ( C ) 30 ☑☑☑

Explanation:

◽Solution:

➡ Let the three numbers be x, y and z.

➡ Sum of the numbers is 98.

➡ x + y + z = 98………………(i)

➡ The ratio of the first to the second is 2/3.

➡ x/y = 2/3.

➡ x = 2/3 × y.

➡ x = 2y/3.

➡ The ratio of the second to the third is 5/8.

➡ y/z = 5/8.

➡ z/y = 8/5.

➡ z = 8/5 × y.

➡ z = 8y/5.

➡ Put the value of x = 2y/3 and z = 8y/5 in (i).

➡ 2y/3 + y + 8y/5 = 98

➡ 49y/15 = 98.

➡ 49y = 98 × 15.

➡ 49y = 1470.

➡ y = 1470/49.

➡ y = 30 .

Therefore, the second number is 30.

Answer: (c)

Hope it helps uh

#Hopēless_ Romañtic ❤❤

Answer 2

Answer:

c ) 30

Explanation:

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

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

=(5×3/5) : (8×3/5)

=3:24/5

⇒A:B:C=2: 3: 24/5

=10:15:24

⇒B=(98×15/49)=30.

hope it helps....❤️❤️