a number is added to 9 less than twice that number,if the re
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a number is added to 9 less than twice that number,if the result is 180,what is the number?
Let the number be x.
Twice the number = 2x
Nine less than twice the number = Nine less than (2x) = 2x - 9
A number is added to 9 less than twice the number = A number is added to (2x - 9) = x + (2x - 9)
Result is 180
So, x + (2x - 9) = 180
3x - 9 = 180
3x = 180 + 9
3x = 189
x = 189/3 = 63.
So, the number is 63.
Check:
Twice 63 = 126. 9 less than 126 is 117. The number (63) is added to 117. The result is 63 + 117 = 180.
Twice the number = 2x
Nine less than twice the number = Nine less than (2x) = 2x - 9
A number is added to 9 less than twice the number = A number is added to (2x - 9) = x + (2x - 9)
Result is 180
So, x + (2x - 9) = 180
3x - 9 = 180
3x = 180 + 9
3x = 189
x = 189/3 = 63.
So, the number is 63.
Check:
Twice 63 = 126. 9 less than 126 is 117. The number (63) is added to 117. The result is 63 + 117 = 180.
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