2) The two numbers are differ by three. Sum
of twice the smaller number and thric the
greater number is 19. find the num

2 thoughts on “2) The two numbers are differ by three. Sum<br />of twice the smaller number and thric the<br />greater number is 19. find the num”

1. Step-by-step explanation:

   Let the no. be X and Y

   first equation,

   X -Y = 3

   Second equation,

   2X + 3Y = 19

   from equation no. 1 ,

   X= 3+Y

   Put this value of X in equation no. 2

   2(3+Y) + 3Y = 19

   6+2Y + 3Y = 19

   6+ 5Y = 19

   5Y= 19-6

   5Y = 13

   Y= 13÷5

   Y = 2.6

   Put this value of Y in equation no. 1

   X-Y= 3

   X – 13/5 = 3

   X = 13/5+3

   taking lcm

   X= 28/5

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2. Answer:

   2 and 5 are the two numbers.

   Step-by-step explanation:

   Question :

   • Two numbers differ by 3. The sum of twice the smaller number and thrice the greater number is 19. Find the number.

   Solution :

   Two numbers differ be 3 :

   Let the first number be x, then the second number will be x + 3.

   Sum of twice the smaller number and thrice the greater number is 19 :

   2(x) + 3(x + 3) = 19

   2x + 3x + 9 = 19

   5x + 9 = 19

   5x = 19 – 9

   5x = 10

   x = 2

   The two numbers are :

   The smaller number (x) = 2

   The greater number (x + 3) = 2 + 3 = 5

   Reply