A sum of two−digit number is 14. The tens digit is the square of a number which is two less than the unit digit. Find the two−digit numbers.


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Question Number 157752 by Engr_Jidda last updated on 27/Oct/21

$A s u m o f t w o - d i g i t n u m b e r$ $i s 14 . T h e t e n s d i g i t i s t h e s q u a r e$ $o f a n u m b e r w h i c h i s t w o l e s s t h a n$ $t h e u n i t d i g i t . F i n d t h e t w o - d i g i t n u m b e r s .$
	Answered by Rasheed.Sindhi last updated on 27/Oct/21

	$R e q u i r e d n u m b e r : \overset{―}{tu}$ $t + u = 14 \Rightarrow t = 14 - u$ $t = v^{2} = u - 2$ $t = u - 2 = 14 - u$ $u = 8 \Rightarrow t = 8 - 2 = 6 (not perfect square)$ $T h e n u m b e r i s 68$
	Commented by Engr_Jidda last updated on 27/Oct/21

	$t h a n k s$
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