Question

A two digit number is such that 4 times the units digits exceeds the tens digit by 1. If the digits are reversed, the number formed is decreased by 45.find the numbers

Answer 1

$\blue{\bold{\underline{\underline{Answer:}}}}$

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$\green{\underline \bold{Given :}}$

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• 4 times the unit digit exceeds the tens digit by 1.

• Reversed number is 45 less than the original number.

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$\red{\underline \bold{To \: Find:}}$

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$\large{\orange{\underline{\tt{Solution :-}}}}$

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Let the ten's digit be 'x'

Let the ones digit be 'y'

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$\underline{\bold{\texttt{Original number is:}}}$

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$\purple\longrightarrow$ $\bf 10x + y$

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$\underline{\bold{\texttt{Reversed number is:}}}$

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$\purple\longrightarrow$ $\bf 10y + x$

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$\purple{\underline \bold{According \: to \: the \ question :}}$

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$\sf \longmapsto 4y = x + 1$

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$\sf \longmapsto -x + 4y = 1$ -------(1)

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Also,

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$\sf \longmapsto 10y + x + 45 = 10x + y$

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$\sf \longmapsto 9x - 9y = 45$

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$\underline{\bold{\texttt{Dividing the above equation by 9}}}$

$\sf \longmapsto x - y = 5$ ---------(2)

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$\sf \longmapsto -x + 4y + x - y = 1 + 5$

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$\sf \longmapsto 3y = 6$

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$\sf \longmapsto y = \dfrac { 6 } { 3 }$

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$\sf \longmapsto y = 2$

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$\underline{\bold{\texttt{Putting y = 2 in (2)}}}$

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$\sf \longmapsto x - 2 = 5$

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$\sf \longmapsto x = 7$

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$\underline{\bold{\texttt{Original number will be:}}}$

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$\rm\implies10(7) + 2$

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$\bf \dashrightarrow 72$

$\rule{200}5$

Answer 2

Answer:

original number is 72

Step-by-step explanation:

pls make it brainlest answer