This historic book may have numerous typos and missing text.
Purchasers can download a free scanned copy of the original book
(without typos) from the publisher. Not indexed. Not illustrated.
1912 Excerpt: ...of a number. Express the number obtained by
increasing each digit by 2. 124. Many problems may be solved, using
either one or two unknowns. Ex. Find two numbers, whose sum is 20,
such that when one of them is subtracted from twice the other, the
remainder is 16. (a) Using one unknown. Let x represent one number.
Then 20--x is the other number, and the equation is 2 x--(20--) =
16. (b) Using two unknowns. Let x and y represent the two numbers.
Then, J + y = 20, The translation of problems into equations is
usually easier when more than one unknown is permitted. This is due
to the fact that in this case each of the given relations between
the numbers is put down as a separate equation. PROBLEMS INVOLVING
TWO VARIABLES 1.. If w and I are the width and length of a
rectangle, express its area and also its perimeter in terms of w
and I. 2. If the width of the rectangle in the preceding is
increased by 10 and its length by 20, express its new perimeter and
also its new area in terms of w and I. 3. If x and y represent the
ages of a father and son respectively, represent the sum of their
ages 5 years ago in terms of x and y; also the difference of their
ages 8 years hence. 4. If a number consisting of two digits is
increased by 15 by changing the order of its digits, which is
greater, the digit in tens' or in units' place? 5. If a number is
decreased by changing the order of its digits, which is greater,
the digit in tens' or in units' place? In solving the following
problems, use two variables in each case: 6. A rectangular field is
32 rods longer than it is wide. The length of the fence around it
is 308 rods. Find the dimensions of the field. 7. Find two numbers
such that 7 times the first plus 4 times the second equals 37;
while 3 times the first plus 9 times th...
|Country of origin:
Herbert Ellsworth Slaught
||246 x 189 x 3mm (L x W x T)
||Paperback - Trade
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