In a two digit number, the tens digit is 2 less than the units digit multiplied by three. The reversed number is half the origin
al number plus 1/2. What is the origional number.
Pls Help. Offering 40 points!
1 answer:
Answer:
73
Step-by-step explanation:
Original number: XY
x = 3y - 2
10y + x = (10x + y) / 2 + 1/2
substitution: 10y + 3y - 2 = 13y - 2 = (10 * (3y - 2) + y) / 2 + 1/2
* 2 both sides and simplify: 26y - 4 = 31y - 19
31y - 26y = -4 + 19
5y = 15
y = 3
x = 7
Original number: 73
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