Question

The sum of two nos is 99 if one of them exceeds the other by 9 find the nos.




please give the answer fully in deatail​

Answer 1

Answer:

45,54

Step-by-step explanation:

let x be an number such that,

x+ (x+9)=99 since one number exceeds other by 9,

2X+9=99,

2x=90

x=45

and another number is 54.

Answer 2

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

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

$\:\:$

• Sum of two numbers is 99

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• One is greater then the other by 9

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

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• Both the numbers

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

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One is greater then the other by 9

$\:\:$

$\bf \dag \ \ \ x = y + 9$ -----(1)

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Sum of both the numbers is 99

$\bf \dag \ \ \ x + y = 99$ ------(2)

$\:\:$

$\underline{\bold{\texttt{Putting the value of "x" from (1) to (2) }}}$

$\:\:$

$\sf \longmapsto y + 9 + y = 99$

$\:\:$

$\sf \longmapsto 2y + 9 = 99$

$\:\:$

$\sf \longmapsto 2y = 90$

$\:\:$

$\sf \longmapsto y = \dfrac { 90 } { 2 }$

$\:\:$

$\bf \dashrightarrow y = 45$ ------(3)

$\:\:$

$\underline{\bold{\texttt{Putting y = 45 in (1) }}}$

$\:\:$

$\sf \longmapsto x = 9 + 45$

$\:\:$

$\bf \dashrightarrow x = 54$

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• Hence the first number is 54 and the other is 45