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Answer:
The consecutive numbers are 62 and 63
Step-by-step explanation:
Let the larger number be represented by x and the smaller number by y,
Provided they are consecutive numbers;
--- Equation 1
From the question; we have that
--- Equation 2
Required
Find x and y
Multiply both sides of equation 2 by 14
---- Equation 3
Substitute y + 1 for x in equation 2
Open bracket
Collect like terms
So,
Hence, the consecutive numbers are 62 and 63
When put in matrix form, the coefficients of
... 3x -2y = 7
... x + 4y = 2
look like
The determinant is 3×4 - 1×(-2) = 14.