book Maths Puzzle Numerical Ability

I am unable to solve this problem. Kindly help.

Log10(x+y)/3 = 1/2(log10x + log10y) Now, prove that x/y + y/x = 7

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book Other Question

can someone give me an real-world application involving either quadratic, rational, or radical equations. I need help with these two problems please help me.

The Greater of two consecutive integers is 15 more than twice the smaller. Find the integers.