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The sum digits of two digit …

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The sum digits of two digit number is15.The number obtained by interchangin the digits exceeds he given number by 9.Find the number

Posted by Puhpalata Srivastava 6 years, 7 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 6 years, 7 months ago

Let digit at ten's place = x and digit at unit's place = y
{tex}\therefore{/tex} number = {tex}10x + y{/tex}
A.T.Q {tex} x + y = 15{/tex}...(i)
Also {tex}10y + x = 10x + y + 9{/tex}
{tex}\Rightarrow{/tex}{tex}9y - 9x = 9{/tex}
{tex}y - x = 1{/tex}...(ii)
Table for {tex} x + y = 15 {/tex}

0	15	7
15	0	8

Table for {tex}y - x = 1 {/tex}

0	-1	2
1	0	3

From graph x = 7, y= 8
{tex}\therefore{/tex} Number 10x + y = 10 {tex}\times{/tex}7 + 8 = 78

0Thank You

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