JIPMAT 2025 (QA) - If a + b = 2c, then the value of a/a-c + b/b-c is | PYQs + Solutions

JIPMAT 2025

Algebra

Linear Equations

Medium

If $a + b = 2c$ , then the value of $\frac{a}{a-c} + \frac{b}{b-c}$ is

\frac{1}{2}

✅ Correct Option: 3

While one can try solving this by simplifying the expression, the easiest way is to assume random values.

Let

a = 3

and

b = 5

\newline

Thus,

a + b = 3 + 5 = 8 = 2c \rightarrow c= 4

Now,

\frac{a}{a-c} + \frac{b}{b-c} = \frac{3}{3-4} + \frac{5}{5-4}= \frac{3}{-1} + \frac{5}{1} = -3+5 = 2

Now, let's verify with one more case.

Let

a = 3

and

b = 7

\newline

Thus,

a + b = 3 + 7 = 10 = 2c \rightarrow c= 5

Now,

\frac{a}{a-c} + \frac{b}{b-c} = \frac{3}{3-5} + \frac{7}{7-5}= \frac{3}{-2} + \frac{7}{2} = -1.5+3.5 = 2

Hence, the correct option is Option 3.

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JIPMAT 2025 (QA) PYQs

If a+b=2ca + b = 2ca+b=2c, then the value of aa−c+bb−c\frac{a}{a-c} + \frac{b}{b-c}a−ca​+b−cb​ is

Keyboard Shortcuts

If $a + b = 2c$ , then the value of $\frac{a}{a-c} + \frac{b}{b-c}$ is