24. A number consists of three digits, the right hand one being zero. If the left hand and middle digits be interchanged, the number is diminished by 180; if the left hand digit be halved and the middle and right hand digits be interchanged, the number is diminished by 454: find the number.
25. The wages of 10 men and 8 boys amount to $ 22.30; if 4 men together receive $3.40 more than 6 boys, what are the wages of each man and boy ?
26. A grocer wishes to mix sugar at 8 cents a pound with another sort at 5 cents a pound to make 60 pounds to be sold at 6 cents a pound. What quantity of each must he take?
27. A traveller walks a certain distance; had he gone half a mile an hour faster, he would have walked it in four-fifths of the time; had he gone half a mile an hour slower, he would have been 21 hours longer on the road: find the distance.
28. A man walks 35 miles partly at the rate of 4 miles an hour, and partly at 5; if he had walked at 5 miles an hour when he walked at 4, and vice versa, he would have covered 2 miles more in the same time: find the time he was walking.
29. Two persons, 27 miles apart, setting out at the same time are together in 9 hours if they walk in the same direction, but in 3 hours if they walk in opposite directions: find their rates of walking.
30. When a certain number of two digits is doubled, and increased by 10, the result is the same as if the number had been reversed, and doubled, and then diminished by 8; also the number itself exceeds 3 times the sum of its digits by 18: find the number.
31. If I lend a sum of money at 6 per cent, the interest for a certain time exceeds the loan by $100; but if I lend it at 3 per cent, for a fourth of the time, the loan exceeds its interest by $425. How much do I lend ?
32. A takes 3 hours longer than B to walk 30 miles; but if he doubles his pace he takes 2 hours less time than B: find their rates of walking.
