exam Maths Puzzle Numerical Ability

One number is 12 more than another. The sum of the smaller number and twice the larger is 39. Find the larger number.

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Correct Question :"
Let a and b be distict real numbers for which
a/b + (a+10b) / (b+10a) = 2
The value of a/b is
a) .5 b) .6 c) .8 d) 1 or .8
How many gallons of 94-octane gasoline should be mixed with 400 gallons of 99-octane gasoline to obtain a mixture that is 97-octane?