Respuesta :

vidalmari6p99qfk

Answer:

237 and 238

Step-by-step explanation:

x+x+1 =475

2x+1=475

2x=474

x=237

237+1 = 238

237+238=475

Step-by-step explanation:

Need to FinD :

  • We have to find the numbers.

[tex] \red {\frak{Given}} \begin{cases} & \sf{Two\ consecutive\ natural\ numbers.} \\ & \sf{The\ sum\ of\ the\ numbers\ is\ {\pmb{\sf{475}}}.} \end{cases}[/tex]

We know that,

  • The sum of the two consecutive natural numbers is 475 and we're asked to find out the numbers. So, let the two consecutive natural numbers be x and x + 1.

Therefore,

[tex] \sf \dashrightarrow {x\ +\ x\ +\ 1\ =\ 475} \\ \\ \\ \sf \dashrightarrow {2x\ +\ 1\ =\ 475} \\ \\ \\ \sf \dashrightarrow {2x\ =\ 475\ -\ 1} \\ \\ \\ \sf \dashrightarrow {2x\ =\ 474} \\ \\ \\ \sf \dashrightarrow {x\ =\ \dfrac{\cancel{474}}{\cancel{2}}} \\ \\ \\ \dashrightarrow {\underbrace{\boxed{\pink{\frak{x\ =\ 237.}}}}_{\sf \blue {\tiny{First\ number}}}} [/tex]

∴ Hence, the first number is 237. Now, let us find out the second number.

[tex]\rule{200}{3}[/tex]

Second NumbeR :

  • x + 1
  • 237 + 1
  • 238

∴ Hence, the second number is 238.

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