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nydus/The First Steps in AlgebraPublic

This textbook introduces the fundamental concepts of algebra, including definitions of units, quantities, and number symbols. It explains the use of letters to represent numbers and outlines the signs for basic mathematical operations.

Page 122 of 227
Table of Contents

X.

is 35 years old, and his son is one-fourth of that age. In how many years will the son be half as old as his

  1. A is 60 years old, and B's age is two-thirds of A's. How many years ago was B's age one-fifth of A's?
  1. A son is one-third as old as his father. Four years ago he was only one-fourth as old as his father. What is the age of each?
  1. A is 50 years old, and B is half as old as A. In how many years will B be two-thirds as old as A?
  1. B is one-half as old as A. Ten years ago he was one-fourth as old as A. What are their present ages?
  1. The sum of the ages of a father and his son is 80 years. The son's age increased by 5 years is one-fourth of the father's age. Find their ages.

Exercise 58.

Ex. A can do a piece of work in 2 days, and B can do it in 3 days. How long will it take both together to do the work?

lint Let x = the number of days it will take both together. lint Then 1x = the part both together can do in one day, 12 = the part A can do in one day, 13 = the part B can do in one day, lintand 12 + 13 = the part both together can do in one day.

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