## Realated Questions

In a four-digit number, the sum of the first two digits is four-fifth of the sum of the last two digits, while the sum of the first and last digits equals the sum of the other two digits.If the first digit is less than the second digit, how many such four-digit numbers exist?

Express the base 7 repeating decimal 0.023023023023... as a base 10 fraction in lowest terms.

If log

_{2}[log_{7}(x^{2}- x + 37) ] = 1, then what could be the value of x?