# Aptitude - Ratio and Proportion - Discussion

Discussion Forum : Ratio and Proportion - General Questions (Q.No. 9)
9.
The sum of three numbers is 98. If the ratio of the first to second is 2 :3 and that of the second to the third is 5 : 8, then the second number is:
20
30
48
58
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

Discussion:
115 comments Page 1 of 12.

Abhishek Kumar said:   4 months ago
Thanks all for giving an explanation to understand easily.
(1)

Navya said:   5 months ago
Thanks all it's easy to understand the solution.

Dharmendra kalauni said:   6 months ago
A B C
2 3 3
5 5 8

Now, new ratio is 10:15:24.

According to the question, the sum of three (10 parts + 15 parts + 24 parts) numbers is 98.
Similarly, (10+15+24) parts = 98.
or, 49 parts = 98.
or, 1 part = 2.
Finally, the second number is 15 parts.
or, 15*2 = 30 (:1 part = 2).
(19)

Kk kumar said:   10 months ago
I can't undersand, can anyone explain me?

Ashok said:   1 year ago
Simple way.

A:B:C.
2:3:
:5:8.

i.e,
2:3:3,
5:5:8 and multiply,
10:15:24.

Total Sum = 98.
Total sum of ratio=49.
Divide = 98/49=2.
Multiply 2 * 15 = 30 Ans.
Here, 15 is ratio of the 2nd number which is to be find.
(4)

Nandita Bhoyar said:   2 years ago
We can try a simpler method:

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

It's given that,
x+y+z = 98 --------> (i)
Now, x/y = 2/3
So, x = 2y/3
And, y/z = 5/8
So, z = 8y/5.

Now putting the values of x and z in (i), we get
2y/3+y+8y/5 = 98,
(10y + 15y + 24y)/15 = 98,
49y/15 = 98,
49y = 1470,
y = 30.
(8)

Swetha said:   2 years ago
To get ratio as f:s:t we make s ratio equal in both multiply first ratio with 5 and second ratio with 3 then you will get 10:15 and 15:24 now we can write 10:15:24 and on adding them the result is 98 and we get x=2 and s=2(15)=30.

Ramesh said:   2 years ago
A : B : C.

2:3
---5: 8
2 * 5:3 * 5:3 * 8.

10:15:24
(15 * 98)/49 = 30.

Shafiya anjum. said:   2 years ago
Well explained, thanks @Alisha.

Sudip said:   2 years ago
1st : 2nd = 2:3
2nd : 3rd= 5:8
_____________________
1st:2nd:3rd = 2*5=10 : 3*5=15 : 3:8=24.
2nd number = 15/49*98,
= 30.