Question

Three numbers are in the ratio 4:5:6. if the sum of the two smaller numbers 30 more than the larger number, find the numbers.​

Answer 1

Answer:

The numbers are 40,50 and 60 respectively.

Step-by-step explanation:

let the common multiple be x

the sum of the smaller numbers is 30 more than the larger

therefore

4x + 5x = 6x + 30

therefore

9x = 6x + 30

therefore

9x - 6x = 30

therefore

3x = 30

therefore

x = 30 divided by 3

therefore

x = 10

therefore

4x = 4 multiplied by 10

4x = 40

similarly

5x = 5 multiplied by 10

5x = 50

6x = 6 multiplied by 10

6x = 60

verification

40 +50 = 60 + 30

therefore

90 = 90

therefore verified the problem statement