115. Once there was an old tramp who had to go through a tollbar,
and before he could get through he had to pay a penny. He had not a
penny; he did not find a penny, nor borrow a penny, nor steal nor beg
a penny, and yet he paid a penny and went through.
116. Find a number which is such that if four times its square be
diminished by 6 times the number itself the remainder shall be 70.
117. A man has a certain number of apples; he sells half the number
and one more to one person, half the remainder and one more to a
second person, half the remainder and one more to a third person,
half the remainder and one more to a fourth person, by which time he
had disposed of all that he had. How many had he?
TEACHER (impressing one of her _protégés_)--“Be brave and
earnest and you will succeed. Do you remember my telling you of the
great difficulty ‘George Washington’ had to contend with?”
WILLY RAGGS--“Yes, mum; he couldn’t tell a lie.”
118. Two numbers are in the ratio of 2 and 3, and if 9 be added
to each they are in the ratio of 3 to 4. Find the numbers.