Question

Twice the difference of a number and 9 is equal to three times the sum of the number and 6. Find the number

Answer 1

After modelling the mathematical statement and solving its equivalent mathematical relation, we get x = -36.

What is Equation Modelling?

Equation modelling is the process of writing a given mathematical statement in the form of a numeric mathematical expression taking into considerations the operations, constants and other variables.

Given in the question is a number such that twice the difference of a number and 9 is equal to three times the sum of the number and 6.

Assume that the number is x. Now, we will model the equation and solve for x. According to the question, the following mathematical relation represents the statement-

2(x - 9) = 3(x + 6)

2x - 18 = 3x + 18

x = - 36

Therefore, the number is -36.

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