The two integers are are mathematically given as
x=3.70
y=13.7
Generally, the equation for the two integers is mathematically given as
x + 10 = y
1/x + 2/y = 2/3
Substitute
1/x + 2/x+10 = 2/3
Multiply by 3
3/x + 6/x + 10 = 2
Multiply by x
2 + 6x/x + 10 = 2x
Multiply by x + 3
2(x + 10) + 6x = 2x(x + 3)
2x+20+6x=2x^2+6x
-2x^2+2x+20=0
x=3.70
hence y
x + 10 = y
3.70+ 10 = y
y=13.7
In conclusion, the two integers are
x=3.70
y=13.7
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