Question

Find the smallest number which when divided by 25 and 30 leaves 10 as remainder.
Plz answer quickly I need help plz fast
help me
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Answer 1

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$\huge \rm {Question:-}$

★Find the smallest number which when divided by 25 and 30 leaves 10 as remainder.

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$\huge \rm {Answer:-}$

$\mapsto \tt {25=5\times5}$

$\mapsto \tt {30=5\times2\times3}$

★Here,we can observe both common and uncommon factors.

$\large \rm {\underline{Common\: factors:-}}$

$\mapsto \tt {5\times5=25}$

$\large \rm {\underline{Common\: factors:-}}$

$\mapsto \tt {5\times2\times3=30}$

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$\large \rm {\underline{We\: know:-}}$

$\small \red {\fbox{L.C.M=Common\: factors ×Uncommon\: factors}}$

$\mapsto \tt {L.C.M=25×30}$

$\large \purple {\fbox{L.C.M=750}}$

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★The smallest number which when divided by 25,30, leaves remainder 10

$\large \rm {\underline{Accordingly,}}$

$\mapsto \tt {750+10}$

$\large \pink {\fbox{760}}$

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$\large \rm {\underline{Thence,}}$

$\implies \tt \green {The\: smallest\: number\: is\: 760}$

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