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Marianna [84]
3 years ago
14

The difference of the present ages of two sister in 5 yrs

Mathematics
1 answer:
Gekata [30.6K]3 years ago
4 0

Answer:

4 and 9

Step-by-step explanation:

let their ages be x and x - 5, then in 4 years their ages will be

x + 4 and x - 5 + 4 = x - 1 , and the product is 104, thus

(x + 4)(x - 1) = 104 ← expand factors on left using FOIL

x² + 3x - 4 = 104 ( subtract 104 from both sides )

x² + 3x - 108 = 0 ← in standard form

(x + 12)(x - 9) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 12 = 0 ⇒ x = - 12

x - 9 = 0 ⇒ x = 9

However, x > 0 ⇒ x = 9

Thus

Their present ages are 9 and 9 - 5 = 4

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The left and right page numbers of an open book are two consecutive integers whose sum is 23. Find these page number.
zavuch27 [327]

Answers: The page numbers are 11 and 12

==========================================================

Explanation:

Consecutive integers are ones that follow immediately after another. For example, the set {7,8,9,10} are consecutive.

Let,

  • x = first page, some positive whole number
  • x+1 = second page, follows immediately after page x

Adding those two said pages will lead to 23

first + second = 23

(x) + (x+1) = 23

2x+1 = 23

2x = 23-1

2x = 22

x = 22/2

x = 11 is the first page

x+1 = 11+1 = 12 is the second page

Check: 11+12 = 23 which confirms the answers.

8 0
2 years ago
Please help me on this one
lara31 [8.8K]

Answer:8600

Step-by-step explanation:

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8 0
3 years ago
6. Which statement about this figure is true?
MaRussiya [10]
What statement and about what figure??
6 0
2 years ago
What property is shown in this equation? (2 X 1/2) + 8 = 1+8
Julli [10]
The property shown in the following equation is 9 beacause simply we know 9=1 +8 so its easy
5 0
3 years ago
Tickets for a school play sold for $7.50 for each adult and $3.00 for each child. The total receipts for 118 tickets totaled $69
NeX [460]
X= number of adult tickets
y=number of child tickets.
we can suggest this system of equations: 
x+y=118                 ⇒x=118-y
7.5x+3y=696

we can solve this system of equations by substitution method:
7.5(118-y)+3y=696
885-7.5y+3y=696
-4.5y=-189
y=-189/-4.5
y=42

x=118-y
x=118-42
x=76

Answer: the number of adult tickets sold was 76. 
7 0
3 years ago
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