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42. LCM and HCF of two numbers are 5083and 23 respectively. If one of the numbersis 391, then what is the other number?(A) 297(B) 299(C) 393.(D) 319​

Answer»

GIVEN :-

  • L.C.M and H.C.F of two NUMBERS are 5083 and 23 respectively.
  • one of the number is 391.

TO FIND :-

  • The other number.

SOLUTION :-

Let the other number be X.

⇒ Product of two numbers = L.C.M × H.C.F

⇒ 391 × x = 5083 × 23

⇒ 391x = 116909

⇒ x = 116909/391

⇒ x = 299

Hence the other number is 299

VERIFICATION :-

⇒ Product of two numbers = L.C.M × H.C.F

⇒ 299 × 391 = 5083 × 23

⇒ 116909 = 116909

L.H.S = R.H.S

HENCE VERIFIED ✔


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