98. An old man married a young woman; their united ages amounted
to 100; the man’s age, multiplied by 4 and divided by 9 gives the
woman’s age. What were their respective ages?
99. A and B set out on a walking expedition at the same time--A from
Melbourne to Geelong, and B from Geelong to Melbourne. On reaching
Geelong A immediately starts again for Melbourne. Now, A arrives at
Geelong four hours after meeting B, but he reaches Melbourne three
hours after their second meeting. In what time did each perform the
journey?
100. What two numbers are those of which the square of the first plus
the second equals 11, and the square of the second plus the first
equals 7?
A schoolmaster, describing a money-lender, says, “He serves you in
the present tense, he lends you in the conditional mood, keeps you in
the subjunctive mood, and ruins you in the future.”
101. “How much money have I,” says a father to his son. Son
replied, “They don’t teach prophecy at our school.” “Well, they
teach arithmetic, I suppose,” rejoined the father, smartly; “if you
multiply one-half, one-third, one-fourth, one-sixth, three-quarters,
and two-thirds of my money together, the product will be 10368. Now
find out how many pence I have.”
102. A person has 1260 quarters of wheat. He sells one-fifth at a
gain of 5 per cent., one-third at a gain of 8 per cent., and the
remainder at a gain of 12 per cent. Had he sold the whole at a gain
of 10 per cent. he would have made £23 2s. more than he did. Find the
cost price of one quarter.