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tiny-mole [99]
3 years ago
15

The sum of two numbers is 51 and the greater number is twice the smaller number. Find the numbers. a) set up the variables Let _

______ represent the first number Then _______ will represent the second number. b) What is the equation that represents the above situation? c) Solve the equation.
Mathematics
2 answers:
Angelina_Jolie [31]3 years ago
6 0

Answer:

\tt{34~and ~17   }

Step-by-step explanation:

let the first number is =x

second number is =y

<em>The sum of two numbers is 51 </em><em>=</em>x+y=51•••{1}

<em>the greater number is twice the smaller number</em>= x=2y••••••••{2}

<u>According</u><u> </u><u>to</u><u> </u><u>the question</u><u>, </u>

\bold{ x+y=51  }

\bold{2y+y=51 } \because{ (x=2y ) }

\bold{ 3y=51  }

\bold{  y=\dfrac{51}{3} }

\boxed{\blue{y=17 }  }

NOW put the value <em>y</em><em> </em>in equation {2}

<u>we</u><u> </u><u>get that</u><u>, </u>

\bold{ x=2×17  }

\bold{ x=34  }

Gelneren [198K]3 years ago
4 0

Answer:

  • 34 and 17

Step-by-step explanation:

a) set up the variables

Let x represent the first number Then  y will represent the second number.

b) What is the equation that represents the above situation?

  • x = 2y
  • x + y = 51

c) Solve the equation.

<u>Substitute x in the second equation and solve for y:</u>

  • x + y = 51
  • 2y + y = 51
  • 3y = 51
  • y = 51/3
  • y = 17

<u>Then find x</u>

  • x = 2y = 2*17 = 34
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