Digits Word Problems

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Question 1 of 4

1. Question
$4$ $4$ less than $x$ $x$ is equal to $22$ $22$ . Find $x$ $x$ .
- $x =$ $x=$ (26)
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Word problems can be written as equations for easier solving.

First, write the word problem as an equation

$4$ $4$ less than $x$ $x$ is equal to $22$ $22$

$x - 4$ $x-4$ $=$ $=$ $22$ $22$

Solve for $x$ $x$

$x - 4$ $x-4$ $=$ $=$ $22$ $22$

$x - 4$ $x-4$ $+ 4$ $+4$ $=$ $=$ $22$ $22$ $+ 4$ $+4$ Add $4$ $4$ to both sides

$x$ $x$ $=$ $=$ $26$ $26$

$x = 26$ $x=26$
Question 2 of 4

2. Question
The product of $3$ $3$ and $7 y$ $7y$ is $126$ $126$ . Find $y$ $y$ .
- $y =$ $y=$ (6)
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Word problems can be written as equations for easier solving.

First, write the word problem as an equation

The product of $3$ $3$ and $7 y$ $7y$ is $126$ $126$

$3 (7 y)$ $3(7y)$ $=$ $=$ $126$ $126$

Solve for $y$ $y$

$3 (7 y)$ $3(7y)$ $=$ $=$ $126$ $126$

$21 y$ $21y$ $=$ $=$ $126$ $126$

$21 y$ $21y$ $\div 21$ $-:21$ $=$ $=$ $126$ $126$ $\div 21$ $-:21$ Divide both sides by $21$ $21$

$y$ $y$ $=$ $=$ $6$ $6$

$y = 6$ $y=6$

Question 3 of 4

12

$12$ less than

5 a

$5a$ is equal to

83

$83$ . Find

a

$a$

$a =$ $a=$ (19)

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Word problems can be written as equations for easier solving.

First, write the word problem as an equation

$12$ $12$ less than $5 a$ $5a$	is equal to	$83$ $83$
$5 a - 12$ $5a-12$	$=$ $=$	$83$ $83$

Solve for

a

$a$

$5 a - 12$ $5a-12$	$=$ $=$	$83$ $83$
$5 a - 12$ $5a-12$ $+ 12$ $+12$	$=$ $=$	$83$ $83$ $+ 12$ $+12$	Add $12$ $12$ to both sides
$5 a$ $5a$	$=$ $=$	$95$ $95$
$5 a$ $5a$ $\div 5$ $-:5$	$=$ $=$	$95$ $95$ $\div 5$ $-:5$	Divide both sides by $5$ $5$
$a$ $a$	$=$ $=$	$19$ $19$

a = 19

$a=19$

Question 4 of 4

What are three consecutive numbers whose sum is

72

$72$ ?

(23) $,$ $,$ (24) $,$ $,$ (25)

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Consecutive numbers are numbers that go up by

1

$1$ .

First, write the word problem as an equation

1

$1$ st number: $x$ $x$

2

$2$ nd number: $x + 1$ $x+1$

3

$3$ rd number: $x + 2$ $x+2$

The sum of three consecutive numbers	is equal to	$72$ $72$
$x$ $x$ $+ ($ $+($ $x + 1$ $x+1$ $) + ($ $)+($ $x + 2$ $x+2$ $)$ $)$	$=$ $=$	$72$ $72$

Solve for

x

$x$

$x$ $x$ $+ ($ $+($ $x + 1$ $x+1$ $) + ($ $)+($ $x + 2$ $x+2$ $)$ $)$	$=$ $=$	$72$ $72$
$3 x + 3$ $3x+3$	$=$ $=$	$72$ $72$
$3 x + 3$ $3x+3$ $- 3$ $-3$	$=$ $=$	$72$ $72$ $- 3$ $-3$	Subtract $3$ $3$ from both sides
$3 x$ $3x$	$=$ $=$	$69$ $69$
$3 x$ $3x$ $\div 3$ $-:3$	$=$ $=$	$69$ $69$ $\div 3$ $-:3$	Divide both sides by $3$ $3$
$x$ $x$	$=$ $=$	$23$ $23$	$1$ $1$ st number

Solve for

x + 1

$x+1$

	$x + 1$ $x+1$
$=$ $=$	$23 + 1$ $23+1$	Substitute $x$ $x$
$=$ $=$	$24$ $24$	$2$ $2$ nd number

Solve for

x + 2

$x+2$

	$x + 2$ $x+2$
$=$ $=$	$23 + 2$ $23+2$	Substitute $x$ $x$
$=$ $=$	$14$ $14$	$3$ $3$ rd number

Check our work

Slot in the numbers

$x$ $x$ $+ ($ $+($ $x + 1$ $x+1$ $) + ($ $)+($ $x + 2$ $x+2$ $)$ $)$	$=$ $=$	$72$ $72$
$23$ $23$ $+$ $+$ $24$ $24$ $+$ $+$ $25$ $25$	$=$ $=$	$72$ $72$
$72$ $72$	$=$ $=$	$72$ $72$

Since this is true, the three numbers are correct

23, 24, 25

$23,24,25$

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Quiz summary

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1. Question

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2. Question

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4. Question

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Quizzes

$4$ $4$ less than $x$ $x$	is equal to	$22$ $22$
$x - 4$ $x-4$	$=$ $=$	$22$ $22$

The product of $3$ $3$ and $7 y$ $7y$	is	$126$ $126$
$3 (7 y)$ $3(7y)$	$=$ $=$	$126$ $126$