Question

find the numbers....​

Answer 1

Answer:

smaller number is 2and greater number is 5.

Answer 2

Question:

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

Answer:

$\bigstar{\bold{The\:numbers\:are\:5\:and\:2}}$

Step-by-step explanation:

$\Large{\underline{\underline{\bf{Given:}}}}$

• Difference of the numbers is 3
• Sum of twice the smaller number and thrice the greater number is 19

$\Large{\underline{\underline{\bf{To\:Find:}}}}$

• To find the numbers

$\Large{\underline{\underline{\bf{Solution:}}}}$

→ Let the numbers be x and y

→ By the given data

  x - y = 3

  x = 3+y - First equation

→ Also given

  3x+2y=19 - Second equation

→ Substituting the value of x from first equation to second equatio

  3(3+y)+2y = 19

  9+3y+2y = 19

  5y = 10

    y = 2

→ Substituting value of y in first equation

   x = 3+y

   x = 3+2

  x = 5

$\boxed{\bold{The\:numbers\:are\:5\:and\:2}}$

$\Large{\underline{\underline{\bf{Verification:}}}}$

→ x - y=3

  5 - 2 = 3

→ 3x+2y = 19

  3×5+2×2 = 19

Hence verified.