Question : Two numbers are in the ratio 7 : 11. If their HCF is 28, then the difference between the two numbers is:
Option 1: 28
Option 2: 308
Option 3: 112
Option 4: 196
Answer (1)
23rd Jan, 2024
Correct Answer: 112
Solution :
Ratio of two numbers = 7 : 11
HCF = 28
Let the numbers be $7x$ and $11x$.
HCF of $7x$ and $11x=x$
⇒ $x= 28$
Difference $=11x-7x=4x= 4 × 28= 112$
Hence, the correct answer is 112.
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