If 5a + 6b = 30 and a – 6b = 6, then find the value of the variables ‘a’ as well as ‘b’.

I have problems on mathematics, My questions is –

If 5a + 6b = 30 and a – 6b = 6, then find the value of the variables ‘a’ as well as ‘b’.

a. 30, 6
b. 5, 30
c. 6, 30
d. 30, 4
e. None of the above

Please help me by salving this GMAT Questions.
Thanks.

Default Asked on October 13, 2017 in GMAT.
Add Comment
1 Answer(s)

    Correct answer: e

    Explanation:

    According to the data given in the question,
    5a + 6b = 30———i
    a – 6b = 6———-ii
    Now adding equations I and ii, we get,
    6a = 36
    ∴ a = 6
    Now, substituting this value of ‘a’ in equation ii, we get,
    6 – 6b = 6
    ∴ 6 – 6 = 6b
    ∴ 0 = 6b
    ∴ b = 0/6
    ∴ b = 0
    Hence, the derived values of ‘a’ and ‘b’ are 6 and 0 respectively.
    But, neither of the options contains this answer.
    Hence, the correct answer is option e.

    If you have any questions on this topics, don’t forget to ask here.

    Brong Answered on October 13, 2017.
    Add Comment
  • Your Answer

    By posting your answer, you agree to the privacy policy and terms of service.