Question

One number is three times another number. When the larger number is subtracted from 60, it is 5 less than 95. Then the smaller number is_______

Answer 1

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

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

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• One number is three times the other number.

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• When larger number is subtracted from 60 it is 5 less than 95.

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

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• The smaller number

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

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Let the one number be 'x'

Let the other number be 'y'

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

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$\purple\longrightarrow$ $\sf x = 3y$ --------(1)

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Also,

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$\sf \implies 60 - x = 95 - 5$

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$\sf \longmapsto 60 - x = 90$

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$\sf \longmapsto x = 60 - 90$

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$\bf \dashrightarrow x = -30$ --------(2)

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$\underline{\bold{\texttt{Putting x = -30 in (1)}}}$

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$\sf \implies -30 = 3y$

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$\sf \longmapsto y = \dfrac { -30 } { 3 }$

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$\bf \dashrightarrow y = -10$

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Hence the numbers are -10 & -30

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The smaller number is -30

$\rule{200}5$