Respuesta :

Answer: Lesser number is 8

Step-by-step explanation:

Let the smaller number be y.

Greater number= (3×y)+ 5 = 3y+5

y+3y+5 = 37

4y + 5 = 37

4y= 37-5

4y=32

y=8

Smaller number is 8

Bigger number is 3y+5= (3×8)+5 = 29

Answer:

The lesser of the two numbers is 8.

Step-by-step explanation:

Let the greater number be [tex]x[/tex] and lesser number be [tex]y[/tex].

We are given with following conditions;

  • First condition says that the sum of two numbers is 37, i.e;

                              [tex]x+y=37[/tex]

                                [tex]x=37-y[/tex]  -------------- [Equation 1]

  • Second condition says that the greater number is 5 more than three times the lesser number, i.e;

                              [tex]x=5+3y[/tex]

                           [tex]37-y=5+3y[/tex]  {using equation 1}

                           [tex]3y+y=37-5[/tex]

                                [tex]4y = 32[/tex]

                                  [tex]y=\frac{32}{4}[/tex] = 8

Therefore, the lesser of two numbers, [tex]y[/tex] = 8.

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