Two numbers differ by 3. The sum of twice the smaller number and thrice the greater number is 19. Frame a system of linear equations. *
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Answer: Define x:
Let one of the number be x
The other number is x + 3
Solve x:
2x + 3(x + 3) = 19
2x + 3x + 9 = 19
5x + 9 = 19
5x = 10
x = 2
Find the numbers:
One number = x = 2
The other number = x + 3 = 2 + 3 = 5
Answer: The two numbers are 2 and 5
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