Sundram says. “I have thought of such a number, that if I multiply it by 4 and then
subtract 5. I get the same result a

2 thoughts on “<br />Sundram says. “I have thought of such a number, that if I multiply it by 4 and then<br />subtract 5. I get the same result a”

1. [tex]\large{\underline{\underline{\rm{Solution:}}}}[/tex]

   [tex]\rm{Sundaram\:thought\:of\:a\:number.}[/tex]

   [tex]\multimap\rm{Let\:the\:number\:be\:x.}[/tex]

   [tex]\rm{He\:multiplies\:it\:by\:4.}[/tex]

   [tex]\multimap\rm{Then,\:the\:number\:will\:be\:4x.}[/tex]

   [tex]\rm{Then,\:he\:subtracts\:it\:by\:5.}[/tex]

   [tex]\multimap\rm{Then,\:the\:number\:will\:be\:4x-5.}[/tex]

   [tex]\underline{\rm{Now,\:According\:to\:the\:Question:}}[/tex]

   [tex]\multimap\rm{4x-5 = (Number \times 2)+1}[/tex]

   [tex]\multimap\rm{4x-5 = (x \times 2)+1}[/tex]

   [tex]\multimap\rm{4x-5 = 2x+1}[/tex]

   [tex]\multimap\rm{4x-2x-5 = 1}[/tex]

   [tex]\multimap\rm{2x-5 = 1}[/tex]

   [tex]\multimap\rm{2x = 1+5}[/tex]

   [tex]\multimap\rm{2x = 6}[/tex]

   [tex]\multimap\rm{x = \dfrac{6}{2}}[/tex]

   [tex]\multimap\rm{x = 3}[/tex]

   [tex]\large{\underline{\underline{\rm{Final\:Answer:}}}}[/tex]

   [tex]\rm{The\:required\:number\:is\:3.}[/tex]

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2. Consider the number Sundaram thought be ‘a’.

   Then, according to him,

   4a–5=2a+1

   ➡️4a–2a=1+5

   ➡️2a=6

   ➡️a=6/2

   ➡️a=3

   Therefore the number is 3.

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