The hcf of two numbers is 23 and then lcm is 1449, if one of the number is 207 then find the other.

Question

The hcf of two numbers is 23 and then lcm is 1449, if one of the number is 207 then find the other.

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Alaia 1 year 2021-07-17T14:23:17+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-07-17T14:24:39+00:00

    \huge\fbox\red{Answer=161}

    let the two no. be a and b.

    Given:

    HCF =23 and LCM =1449

    We know that:

    a×b=hcf×lcm

    207×b=23×1449

    b =  \frac{23 \times 1449}{207 }  \\   = \frac{33327}{207} \\  \\ = 161.

    So the answer is 161

    For checking:

    if we find the HCF of 207 and 161=23

    if we find the LCM of 207 and 161=1449

    so our answer is correct.

    0
    2021-07-17T14:24:43+00:00

    \sf{\huge{\underline{\green{Given :-}}}}

    • The hcf of two numbers is 23 and then lcm is 1449, One of the number is 207 .

    \sf{\huge{\underline{\green{To\:Find :-}}}}

    • The other number.

    \sf{\huge{\underline{\green{Answer :-}}}}

    According to the question ,

    • The hcf of two numbers is 23 .
    • The lcm is 1449 .
    • One of the number is 207.

    Let the other numbers be x .

    One of the number is 207.

    We have to find the value of x .

    We know that,

    H.C.F × L.C.M. = a × b

    ➝ 23 × 1449 = 207 × b

    ➝ 33327 = 207 × b

    ➝ 33327/207 = b

    161 = b

    The other number is 161 .

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