Express as the sum of two radicals of integers. (Or maybe not.)

## Algebra

## Fraction Sum

Twice a fraction plus half that fraction, all times that fraction, equals the fraction. What is the fraction?

## Percent Calculation

Guess (or figure out) the unknown number. Fifty percent more than this number is 25% less than 60% more than 10.

## Louie’s Age (Squares)

Louie won’t tell you his age, but it happens that if you square his age this year, and you square his age next year, the difference between those two perfect squares is 75. So how old is he?

## Consecutive Integers, Sum of 17798

Find 4 consecutive integers whose sum is 17798.

## Consecutive Integers, Sum of 17802

Find four consecutive integers whose sum is 17802.

## Consecutive Integers, Sum of 100

Find all sets of consecutive positive integers whose sum is 100. How many such sets are there?