If a + bab = 2, then b = | GMAT Sprint

Free Practice Question

PS · Problem Solving

505-555

Algebra

If $\frac{a + b}{ab} = 2$ , then $b =$

Answer Choices

Correct answer marked below

\frac{a}{2a - 1}

Correct

\frac{a}{a + 2}

\frac{a - 2}{a}

\frac{a + 2}{a}

a - 2

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Explanation

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Official Explanation

Official

To solve the equation

\frac{a + b}{ab} = 2

, we start by cross-multiplying to eliminate the fraction. This gives us

a + b = 2ab

. Next, we can rearrange this equation to isolate

b

b - 2ab = -a

. Factoring out

b

from the left side gives us [m]b(1 -…

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Comments

DarrithJan 16, 2025

Thank for sharing!!!

ThitiratFeb 3, 2025

thank you for sharing

lucianJan 10, 2025

taking my GMAT next month, this helps!

ArshvirFeb 13, 2024

got this wrong on my practice

GaganFeb 15, 2025

Thanks for sharingThank you for sharing!!thanks for sharing

What this question tests

What it tests

Your ability to manipulate linear and quadratic expressions, substitute unknowns, and solve equations under time pressure.

Common trap

Losing a sign when moving terms across the equals sign, or dividing both sides by a variable that could equal zero.

If a+bab=2\frac{a + b}{ab} = 2aba+b​=2, then b=b =b=