Algebra Adapted to the Requirements of the First Stage of the Directory of the Board of Education
Algebra Adapted to the Requirements of the First Stage of the Directory of the Board of Education
Edward M Edward Mann Langley
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(24) A footman was hired for £20 a year and his livery. He was discharged at the end of eight months, and was only given £10 and his livery. What was his livery worth ? Digitized by Google PROBLEMS 121 (25) Find the product and the sum of the squares of two numbers whose sum is 59 and difference 17. (26) Find two numbers, such that their sum is 40, and seven times the greater is equal to 21 times the less. (27) A man has two droves of pigs, each containing the same number. He sells 21 of one dr...ove and 61 of the other, and then finds that he has twice as many of the first left as he has of the others. How many pigs had he originally in each drove ? (28) A bill of £57 was paid in sovereigns and half- crowns, and the number of coins was 106. How many were there of each ? (29) A's age is three times B's. B is twice as old as C. The sum of their ages is 54. How old were they? (30) A boy, after spending 6d. more than half his pocket money, had Id. more than one-third of it left. How much pocket money had he ?
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