Math, asked by tanviyadav51, 6 months ago

what is greatest 4 -digit number exactly divisible by 70.

plss answer....
I am a student and I can't find the answer of this that's why plssas help me.....


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Answers

Answered by ExᴏᴛɪᴄExᴘʟᴏʀᴇƦ
24

\displaystyle\large\underline{\sf\red{Given}}

✭ 70 is gonna be used to divide a 4 digit number which gives a remainder zero

\displaystyle\large\underline{\sf\blue{To \ Find}}

◈ The four digit number?

\displaystyle\large\underline{\sf\gray{Solution}}

So here we shall divide the largest four digit number and then subtract it from the number to get our answer!!

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\underline{\bigstar\:\textsf{According to the given Question :}}

So the four digit Numbers start from 1000 and they end at 9999

»» Which shows us that he largest four digit number should be 9999

On dividing the largest number by 70,

  • Dividend = 9999

  • Divisor = 70

On dividing,

 \sf 70 \bigg )9999 \bigg(142 \\ \sf\qquad 70   \downarrow\\  \underline{ \qquad \qquad \qquad} \\ \sf  \qquad 299 \\\sf\qquad 280 \\  \underline{ \qquad \qquad \qquad}  \\  \sf \qquad  \:  \:  \:  199 \\  \sf \qquad \:  \:  \: 140 \\  \underline{ \qquad \qquad \qquad}  \\ \sf \qquad \quad  \:  \ 59\\  \underline{ \qquad \qquad \qquad}

So now that the remainer is 59, we shall subtract that from 9999

\displaystyle\sf 9999-59

\displaystyle\sf \pink{9940}

Verification

›› \displaystyle\sf \dfrac{9940}{70}

›› \displaystyle\sf 142

\displaystyle\sf Hence \ Proved!!

\displaystyle\sf \therefore\:\underline{\sf The \ greatest \ 4 \ digit \ Number \ to \ be \ divided \ is \ 9940}

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