Problema Solution

One half of a larger number, plus three times another number is equal to 9. Two thirds a larger number minus twice a smaller number is 6. Find the larger number.

Answer provided by our tutors

Let x and y represent the numbers and y>x (y is the larger and x is the smaller number)

(1/2)y + 3x = 9

(2/3)y - 2x = 6

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click here to see the system of equations solved for x and y

........

x = 1

y = 12

The larger number is 12.