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If both a and b are positive integers, then from the following equations we have to find the value of 'a'.

1) 2a + b = 22

2) 34 - 2b = 12

Now, read the following options and select whichever option is applicable.


1. Equation 1 alone is sufficient to find the value of 'a'.
2. Only equation 2 is sufficient to find the value of 'a'.
3. Neither Equation 1 alone nor Equation 2 alone is sufficient to find the value of 'a', but both are necessary together.
4. The value of 'a' cannot be determined from any one equation. Even the two equations cannot be known jointly.

1 Answer

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Best answer
Correct Answer - Option 3 : Neither Equation 1 alone nor Equation 2 alone is sufficient to find the value of 'a', but both are necessary together.

Given:

1) 2a + b = 22

2) 34 - 2b = 12

Calculation:

From equation 2nd, we get

⇒ 34 - 2b = 12

⇒ b =11

We substitute value of b in equation 1, we get

⇒ 2a  + 11 = 22

⇒ a = 11/2

∴ Neither Equation 1 alone nor Equation 2 alone is sufficient to find the value of 'a', but both are necessary together.

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