in a 2-digit number , ten’s digit is twice the unit digit . if the sum of the digits is 6 find the number .​

Question

in a 2-digit number , ten’s digit is twice the unit digit . if the sum of the digits is 6 find the number .​

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Ayla 2 months 2021-11-28T13:37:38+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-11-28T13:38:41+00:00

    Given:

    in a 2-digit number , ten’s digit is twice the unit digit

    To find:

    if the sum of the digits is 6 find the number .

    STEP BY STEP EXPLANATION:

    \impliesRefer to the attachment

    the Number is 42

    Hence verified !1

    0
    2021-11-28T13:39:12+00:00

    Sᴏʟᴜᴛɪᴏɴ :-

    Let us Assume That, Required two digit number is (10x + y) , where ,

    → Ten’s digit = x

    → unit digit = y .

    Now, we have given that, ten’s digit is twice the unit digit.

    So,

    Ten’s digit = 2 * unit digit

    → x = 2y ————– Eqn.(1)

    And, we also have given that, sum of the digits is 6.

    So,

    x + y = 6 ————– Eqn.(2)

    Putting Eqn(1) value in Eqn.(2) , we get,

    2y + y = 6

    → 3y = 6

    → y = (6/3)

    y = 2.

    Putting This value in Eqn.(1) Now,

    x = 2y

    → x = 2*2

    x = 4.

    Therefore,

    Required Two digit Number is = (10x + y) = 10*4 + 2 = 40 + 2 = 42 (Ans.)

    Hence, The Number is 42.

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