Advertisements
Advertisements
Question
The sum of three numbers, whose ratios are `3 1/3 : 4 1/5 : 6 1/8` is 4917. Find the numbers.
Advertisements
Solution
Sum of three numbers = 4917
Ratio between them = `3 1/3 : 4 1/5 : 6 1/8`
= `3 1/3 : 4 1/5 : 6 1/8 = 10/3 : 21/5 : 49/8`
= LCM of denominators 3, 5, and 8 is 120.
= `(10.120)/3 : (21.120)/5 : 49.120/8`
= 10.40 : 21.24 : 49.15
Multiplication of the above Numbers, we will get this,
= 400 : 504 : 735
Sum of ratio's = 400 + 504 + 735 = 1639
∴ First number = `400/1639` of 4917 = 1200
Second number = `504/1639` of 4917 = 1512
and third number = `735/1639` of 4917 = 2205
Therefore, the first, second, and third number is 1200, 1512, and 2205 respectively.
APPEARS IN
RELATED QUESTIONS
Find the ratio of the following in the simplest fcrm:
a4 + b4 and a3 - b3
Which of the Following Ratio is Greater ?
3 : 5 and 2 : 11
Express the following ratios in its simplest form :
5 kg: 800 gm
If `a/b = c/d = e/f`, Prove that each of these ratios is equal to `(a + c + e)/(b + d + f)`.
If `1 1/4 : 2 1/3 = "p" : "q"` and q : r = `4 1/2 : 5 1/4`; find p : r.
30 cricket players and 20 kho-kho players are training on a field. What is the ratio of cricket players to the total number of players?
The boys and the girls in a school are in the ratio 9 : 5. If the total strength of the school is 448, find the number of girls.
In an examination, the number of those who passed and the number of those who failed were in the ratio of 3 : 1. Had 8 more appeared, and 6 less passed, the ratio of passed to failures would have been 2 : 1. Find the number of candidates who appeared.
The length and breadth of a window are in 1m and 70 cm respectively. The ratio of the length to the breadth is _______________
`3/8 = 15/40`
