The two consecutive integer numbers are 24 and 25.
We can write the two consecutive integers as x and x + 1, where the larger one is x + 1.
We know that 1/5 of the larger is 7 less than 1/2 of the lesser one, then we can write the linear equation:
1/5*(x + 1) = 1/2*x - 7
1/5*x + 1/5 = 1/2*x - 7
So we need to solve that for x:
1/5 + 7 = 1/2*x - 1/5*x
1/5 + 35/5 = 5/10*x - 2/10*x
36/5 = 3/10*x
(36/5)*(10/3) = x = 24
So the smaller is 24, and the larger is x + 1 = 25.
The two consecutive integer numbers are 24 and 25.
If you want to learn more about linear equations:
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