Question
Download Solution PDFTwo numbers are in the ratio 7 : 11. If their HCF is 28, then sum of the two numbers is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Ratio of numbers = 7 ∶ 11
HCF = 28
Calculation:
Let the numbers be 7x and 11x
HCF of 7x and 11x is x
HCF = x = 28
The numbers will be 7 × 28 and 11 × 28
⇒ The numbers will be 196 and 308
Sum of numbers = 196 + 308
⇒ Sum of numbers = 504
∴ Sum of numbers is 504
Shortcut Trick Note that the sum of two numbers is asked.
Let the numbers be 7x and 11x.
Add the numbers:
⇒ 7x + 11x
⇒ 18x
Now see, the final number must be the multiple of 18, so in options only 504 is multiple of 18.
∴ The sum of two number is 504.
Last updated on May 28, 2025
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