Half the sum of two numbers is ; and times their difference is . Find the numbers.
A certain number when divided by a second number gives for a quotient and for a remainder. If three times the first number is divided by twice the second number, the quotient is and the remainder . Find the numbers.
A fraction becomes in value by the addition of to its numerator and to its denominator. If is subtracted from its numerator and from its denominator, the value of the fraction is . Find the fraction.
A farmer sold bushels of wheat and of barley for dollars; and at the same prices he sold bushels of wheat and bushels of barley for dollars. What was the price of the wheat and of the barley per bushel?
If A gave $ to B, he would then have three times as much money as B; but if B gave $ to A, A would have four times as much as B. How much has each?
A and B have together $. If A were to spend one-half of his money, and B one-third of his, they would then have only $ between them. How much money has each?
A fruit-dealer sold lemons and oranges for cents, and lemons and oranges for cents. What was the price of each?
If A gives me apples, he will have just twice as many as B. If he gives the apples to instead of to me, A and B will each have the same number. How many apples has each?