Question

the sum of three number is 98 if the ratio of 1st to the 2nd is 2:3 and that of the 2nd to the 3rd is 5:8 find the third number

Answer 1

sum of three number is 98
ratio of 1st & 2nd is 2:3
2nd & 3rd is 5:8
2:3
5:8
................
2*5:3*5:3*8
10x+15x+24x = 98
49x =98
x = 2
10x:15x:24x
20:30:48

Answer 2

the numbers will be 20 , 30 and 48
ratio of 1st to 2nd is 2:3
and 2nd to 3rd is 5:8
in both cases of ratios of 2nd are different so there is need to make it same in both cases
so, 2:3:5:8
take LCM of 3 and 5 and change the ratios according to it like as it do
LCM =15
10:15:24
10x+15x+24x=98
49x=98
x=2
the required numbers are 20,30 and 48