L, 14. The ten’s digit of a two digit number is three times the unit digit. The sum of the number and the unit digit is 32.

Question

L,
14. The ten’s digit of a two digit number is three times
the unit digit. The sum of the number and the unit
digit is 32. Find the number.
please give answer​

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Cora 4 weeks 2021-10-29T21:39:08+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-10-29T21:40:42+00:00

    Answer

    The required number is 31

    \large\bf\underline{Given}

    • The ten’s digit of a two digit number is 3 times the unit digit
    • The sum of the number and the unit digit is 32

    \bf\large\underline{To \ Find}

    • The number

    \bf\large\underline{Solution}

    Let the digits be x and y respectively

    Therefore, the number is

    \sf\longrightarrow 10x + y

    \sf\underline{\underline{\dag \: \:  According \: to \: question : }}

    \sf\implies x = 3y \dashrightarrow(1)

     \sf \underline{ \underline{ \dag \:  \: Again \: by \: question : }}

    \sf\implies 10x + y + y = 32 \\\\ \sf\implies 10\times 3y + y + y = 32 \: \: \: \{ \because  x = 3y\:  from\:  (1) \} \\\\ \sf\implies 32y = 32 \\\\ \sf\implies y = 1

     \sf \underline{ \underline{Now \: putting \: the \: value \: of \: y \: in \: (1)}}

    \sf\implies x = 3\times1 \\\\ \sf\implies x = 3

    Therefore, the required number is :

    \sf\longrightarrow 10\times3+1 \\\\ \sf\longrightarrow 30+1 \\\\ \sf\longrightarrow 31

    0
    2021-10-29T21:40:59+00:00

    Answer:

    number at unit place=8

    three times the 8=24 +8=32

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