Home
Class 14
MATHS
Three numbers are in the ratio 1 : 2 : 3...

Three numbers are in the ratio `1 : 2 : 3`. By adding 5 to each of them, the new numbers are in the ratio `2:3:4`. The numbers are:

A

15, 30, 45

B

1, 2, 3

C

5, 10, 15

D

10, 20, 30

Text Solution

Verified by Experts

The correct Answer is:
C
मानाकि आनुपातिक गुणांक x हैI `:.` संख्याएँ x, 2x तथा 3x होंगी
प्रश्नानुसार,
`(x+5)/(2x+5)= 2/3` ................(i)
`(2x+5)/(3x +5) = 3/4` ………….. (ii)
समी. (i) को हल करने पर :-
`3x + 15 = 4x + 10`
`implies x= 15-10`
`implies x=5`
`:. " संख्याएँ " 5, 10, 15` होगी।
Promotional Banner

Similar Questions

Explore conceptually related problems

If 3 is subtracted from each of two numbers and their ratio is 1:2 .If 2 is added to each of the two number then their ratio is 6:7 .The numbers are

Two numbers are in the ratio of 21 : 26. If 8 is added in each, the new numbers are in the ratio of 5 : 6. Find the ratio of numbers, if 4 is subtracted from each number?

Two number are in the ratio 7 : 11 . If 7 is added to each of the numbers , the ratio becomes 2 : 3 . The smaller number is

Two numbers are in the ratio 7 : 11 If 7 is added to each of the numbers , the ratio becomes 2 : 3 . Find the numbers.

Two numbers are in the ratio of 3 : 4. If 5 is subtracted from each, the resulting numbers are in the ratio 2 : 3. Find the numbers

Three numbers are in the ratio 2 : 3 : 4. If their LCM is 240, the smaller of the three numbers is:

The three numbers are in the ratio 1:2:3 and their HCF is 12. These numbers are :

Three numbers are in the ratio 1 : 2 : 3 and their HCF is 12. The numbers are,