The lcm of two numbers is 9 times their hcf. the sum of lcm and hcf is 500 . find the hcf of two numbers.

Question

The lcm of two numbers is 9 times their hcf. the sum of lcm and hcf is 500 . find the hcf of two numbers.

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Serenity 1 month 2021-08-18T14:15:47+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-08-18T14:16:50+00:00

    Step-by-step explanation:

    lcm = 9×hcf

    lcm + hcf = 500

    => 9×hcf + hcf = 500

    => 10×hcf = 500

    => hcf = 500/10 = 50

    0
    2021-08-18T14:17:13+00:00

    Answer:

     \huge  \red a \red n \red s \red w \red e \red r  \over

    Given:-

    LCM:- 9×HCF

    LCM+HCF = 500

    To Find:-

    The value of LCM

     \huge  \green  s \red o \orange l \green u \red t \green i o \red n \over

    LCM+HCF = 500

    Given LCM = 9HCF

    9HCF + HCF= 500

    10 HCF = 500

      \: hcf = \frac{500}{10}  = 50

    HCF = 500

    • Using HCF= 50 in LCM + HCF = 500

    • LCM+ HCF= 500 [HCF = 50]

    • LCM + 50 = 500

    • LCM = 500 – 50

    • LCM = 450

     \huge hence \: verified

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