Question

the sum of three number is 129 and the ratio of first and second number is 2 : 3 and the ratio of second and third number is 5:6 then find the first number

Answer 1

Let the numbers be x, y & z

x:y=2:3 ....1

y:z=5:6 ....2

multiplying the ratio in 1 by 5,we get

x:y=10:15 ....3

multiplying the ratio in 2 by 3,we get

y:z=15:18 ....4

from 3 & 4,we get

X:Y:Z=10:15:18

thus we get the ratio so now assume that the numbers be

10a,15a&18a

so according to question,

10a+15a+18a=129

43a=129

a=129/43

a=3

thus numbers are

1. 10a=10x3=30
2. 15a=15x3=45
3. 18a=18x3=54

THE NUMBERS ARE 30,45 AND 54.