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Which equation represents "the sum of eight times a number and seven is twice the number"?
8(7 + 2N)
8N = 7 + 2N.
7N + 8 = 2N
8N + 7 = 2N
Solution:
Given, the sum of eight times a number and seven is twice the number.
Let the number be N.
Now, eight times a number = 8N
Sum of eight times a number and seven = 8N + 7
Twice the number = 2N
The expression can be written as 8N + 7 = 2N.
Therefore, 8N + 7 = 2N represents the equation.
Example -
Which equation represents "the sum of three times a number and six is thrice the number"?
Solution:
Given, the sum of three times a number and six is thrice the number
Let the number be N.
Now, three times a number = 3N
Sum of three times a number and six = 3N + 6
Thrice the number = 3N
The expression can be written as 3N + 6 = 3N.
Therefore, 3N + 6 = 3N represents the equation.
Which equation represents "the sum of eight times a number and seven is twice the number"?
Summary:
The equation 8N + 7 = 2N represents "the sum of eight times a number and seven is twice the number".
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