The bigger number exceeds a smaller number m by 3 which of the following represents the bigger number...
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Let the larger number be x and the smaller be y.
Then the first condition says x+y−3y=3.
The second condition gives x−y=5.
Thus we get two equations
x−2y=3 .... (1)
x−y=5 .... (2)
Subtracting the equation (2) by (1), we get −y=−2.
Hence y=2.
This gives x=y+5=2+5=7.
Thus the larger number is 7 and the smaller is 2.
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