Question

Sum of no. -9 and difference 11 write pairs of no.

Answer 1

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

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

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• Sum of two numbers is -9

• Difference of the numbers is 11

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

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• The pairs of number.

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

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Let one number be 'x'

Let the other number be 'y'

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

$\purple\longrightarrow$ $\sf x + y = -9$ -------(1)

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Also,

$\purple\longrightarrow$ $\sf x - y = 11$ -------(2)

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Let us solve the equations by elimination method.

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Adding (1) & (2)

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$\sf \longmapsto x + y + x - y = -9 + 11$

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$\sf \longmapsto 2x = 2$

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$so x = \dfrac { 2 } { 2 }$

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$\bf \dashrightarrow x = 1$

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

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$\rm \implies 1 + y = -9$

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$\sf \longmapsto y = -9 - 1$

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$\bf \dashrightarrow y = -10$

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