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The H.C.F. of two numbers is 18. First number is of three digits and Second number is of two digits and their L.C.M. is 936. The sum of the numbers is?
- A276
- B306
- C278
- D310
Answer not set
Discussion 1
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CCommunity
Let the numbers be 18x and 18y where x and y are co-prime
LCM of 18x and 18y = 18xy
According to the question
18xy = 936
⇒ xy = 936/18
⇒ xy = 52
⇒xy = 13 × 4
⇒ x =13 and y = 4
First number = 18 × 13 = 234
Second number = 18 × 4 = 72
∴ Sum of the number = 234 + 72 = 306
LCM of 18x and 18y = 18xy
According to the question
18xy = 936
⇒ xy = 936/18
⇒ xy = 52
⇒xy = 13 × 4
⇒ x =13 and y = 4
First number = 18 × 13 = 234
Second number = 18 × 4 = 72
∴ Sum of the number = 234 + 72 = 306