# 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.

**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**.

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