Problem 2.2 Number of Solutions
How many solutions to 7x + 3y = 93 are there for which x
and y are positive integers?
Problem 2.3 Whole Numbers
Find five consecutive whole numbers that add up to 90.
Problem 2.4 Taxi Charge
Problem 2.5 The Age
When my mother was 43, I was 11. Now she is twice as old as I
am. How old I am?
Problem 2.6 My Number
I am thinking of a number. If I multiply it by 7 and subtract 8,
I get the same number as if I had multiplied it by 6 and added 4.
What is my number?
Problem 2.7 Sound Together
a. Foghorn A sounds every 2 seconds, and Foghorn B sounds
every 3 seconds. They sound together at noon. How many
seconds later will they next sound together?
b. Foghorn P sounds every 26 seconds, and Foghorn Q
sounds every 46 seconds. They sound together at noon. How
many seconds later will they next sound together?
Problem 2.8 My Number
I am thinking of a number. If I add a third, a sixth, and a ninth
of it together, I get a total of 55. What is my number?
Problem 2.9 Crossing a Bridge
Speed (or velocity) is the rate of change of distance with respect to
time. That is:
In symbolic form,
where v denotes the velocity (or
speed)
d denotes the distance moved, and
t
denotes the time taken
Use the concept of speed to find the solution to the following problem:
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