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jhenderson2024
16.10.2020 •
Mathematics
Which situation is represented by the equation 6x = 4x + 18? a, James paid $18 for 4 books. What is the cost of one book? b. James paid the same amount for 6 books as he did for 4 books and a CD that costs $18. What was the cost of each book? c. Six times a number is the same as 4 times the number decreased by 18. What is the number x? d. Six more than the number of red beads in a bag is the same as 18 more than 4 times the number of red beads in the bag. What is x, the number of red beads in the bag, HURRY PLEASE
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Ответ:
B
Step-by-step explanation:
Option B best displays/showcases the equation of 6x = 4x +18
Ответ:
Let 'n' be the original number
Let 'a' be the digit in the ten's place of 'n'
Let 'b' be the digit in the one's place of 'n'
Then, n = 10a + b
We have,
a+b = 11 (equation 1)
Let m be the number formed when the digits of n are reversed
Then, m = 10b + a
Given that, m = n + 27
=> 10b + a = (10a + b) + 27
=> 9b - 9a = 27
=> 9(b - a) = 27
=> b - a = 3 (equation 2)
Adding equation 1 and 2, we get
2b = 14
=> b = 7
putting b = 7 in equation 1
a + 7 = 11
=> a = 4
Therefore original number is 10×4 + 7 i.e. 47