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If two numbers with HCF = 9 are in the ratio 5 : 7, what is their difference?
Question

If two numbers with HCF = 9 are in the ratio 5 : 7, what is their difference?

A.

18

B.

24

C.

12

D.

8

Correct option is A

Given:
HCF of two numbers = 9.
The two numbers are in the ratio 5:7.
Formula Used:
If two numbers are in the ratio m:n and their HCF is H, then the numbers are: 
Number 1=H×m, Number 2=H×n.Difference between the numbers=H×(nm).\text{Number 1} = H \times m, \, \text{Number 2} = H \times n. \\\text{Difference between the numbers} = H \times (n - m).​​
Solution:
The two numbers are: 
Number 1=9×5=45, Number 2=9×7=63.Difference between the numbers: 6345=18.\text{Number 1} = 9 \times 5 = 45, \, \text{Number 2} = 9 \times 7 = 63. \\\text{Difference between the numbers: } 63 - 45 = 18.​​

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