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olga55 [171]
3 years ago
15

One positive number is 5 times another number . The difference between the two numbers is 80, Find the numbers.

Mathematics
1 answer:
nika2105 [10]3 years ago
4 0
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Define the numbers:
---------------------------------------------------------------------------------------------------
Let x be one number.
One number = x
Other number = 5x

---------------------------------------------------------------------------------------------------
Construct the equation:
---------------------------------------------------------------------------------------------------
5x - x  = 80

---------------------------------------------------------------------------------------------------
Combine like terms:
---------------------------------------------------------------------------------------------------
4x = 80

---------------------------------------------------------------------------------------------------
Divide by 4 on both sides:
---------------------------------------------------------------------------------------------------
x = 20

---------------------------------------------------------------------------------------------------
Find the 2 numbers:
---------------------------------------------------------------------------------------------------
One number = x = 20
Other number = 5x = 5(20) = 100

---------------------------------------------------------------------------------------------------
Answer: The two numbers in increasing order are 20 and 100.
---------------------------------------------------------------------------------------------------

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Statement,                                              Reason

MNOP is a parallelogram:,                     Given

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\overline{PM}\cong\overline{ON}:,                                               Segment subtended by the same                                                                                                                              angle and on two adjacent parallel lines are congruent

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