If the unit number of the original two digits is X, the ten digits will be 2X, the original two digits can be expressed as 10*2X+X, and the new two digits can be expressed as 10*X+2X, which is10x+2x =10 * 2x+x according to the meaning of the question.
Solution: X=4,
So the original two digits are: 10*2X+X=2 1X=84.
A: The original two-digit number was 84.
A concert hall decided to hold a summer concert for students in early May. Admission tickets are divided into group tickets and retail tickets, of which group tickets account for 2/3 of the total votes. If you buy tickets in advance, you will be given different degrees of discount. In May, 3/5 of the group tickets were sold, and the retail tickets were 16 yuan * *. Group tickets are priced at 16 yuan, and the remaining tickets are planned to be sold out in June. So how much should each retail ticket be sold to make the ticket income for two months even? This is so difficult, so many problems, dizzy, this specific problem is solved, thank you.
Solution:
If the total number of votes is A, the number of group votes is 2/3A, and the number of retail votes is1/3a;
In May, the number of group tickets sold was 2/3 * 2/3a = 4/9a.
The number of retail tickets sold is1/2 *1/3a =1/6a;
Then the number of votes in May = 4/9a *12+1/6a *16 = 8a.
The remaining group tickets in June are (1-2/3) * 2/3a = 2/9a,
Retail ticket surplus (1-1/2) *1/3a =1/6a;
Then the group ticket in June is 2/9a * 16 = 32/9a.
If the number of votes in June = the number of votes in May equals = 8a.
Then the retail ticket for June is 8a-32/9a = 40/9a.
Then the retail ticket price in June = (40/9a)/( 1/6a) = 80/3 (RMB).
A: The retail tickets in June should be priced at 80/3 yuan each, so that the ticket revenue in these two months will be even.