Question

In the question, a pair of equations is given. Find the values of a and b and choose the appropriate condition

I. 3a + 2b = 14

II. a + 4b = 13

• A. if a < b
• B. if a ≤ b
• C. if a = b
• D. if a > b
• E. if a ≥ b

Answer 1

The correct option is D

if a > b

I. 3a + 2b = 14

II. a + 4b = 13

Subtract equation I from equation II after multiplying II by 3.

We get 3a + 12b - 3a - 2b = 39 - 14

$⟹$ 10b = 25

$⟹$ b = 2.5

Put value of b in equation II.

We set a + 4 $\times$ 2.5 = 13.

Therefore, a = 3. Thus, a $>$ b.