Chapter 6, Problem 6CR

To determine

Tofind:The two numbers such that their sum is -3 and 3 times of one is 27 greater than other.

Answer to Problem 6CR

The option B is correct.

Explanation of Solution

Given information:

The sum of two numbers is -3 and three times the first number minus the second number is 27.

Formulaused:

We obtain two liner equations from given conditions and solve them.

Calculations:

Let two numbers are x and y, then according to condition, first their sum is -3, therefore,

  $x+y=-3$........(1)

According to second condition, three times of the first number, i.e., 3x minus second number is 27, therefore,

  $3x-y=27$........(2)

Now, adding equation (1) and (2)

  $4x=24$

  $x=\frac{24}{4}=6$

Further, substituting value of x in equation (1)

  $6+y=-3$

  $\Rightarrow y=-3-6$

  $\Rightarrow y=-9$

Thus, two number are 6 and -9.

Hence, the option B is correct.

Conclusion:

The option B is correct.