Question
Download Solution PDFTwo numbers are in the ratio 21 ∶ 10. If their HCF is 11, then the sum of the numbers is
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Product of two numbers = LCM × HCF
Calculation:
Given, two numbers are in the ratio 21 ∶ 10.
Let the two number be 21x and 10x.
LCM(21x, 10x) = 21 × 10 × x [Since, 21 and 10 are co-primes]
HCF(21x, 10x) = 11
∴ Product of two numbers = LCM × HCF
⇒ 21x × 10x = 21 × 10 × x × 11
⇒ x = 11
⇒ 21x + 10x = 31x = 31 × 11 = 341
∴ The sum of the numbers is 341.
Last updated on May 25, 2025
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