Her bank statement balance was $0.81$...... | Free GMAT Practice Question | GMAT Panda

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Her bank statement balance was 0.81 dollars greater than her checkbook showed. She discovered that she had written a check for t . uv dollars but recorded it as t . vu dollars, where each of t, u, and v is a digit from 0 through 9 . Which of the following could be the value of v ?

Explanation	Calculations	Help
$We translate the phrases to set up the difference between the recorded and actual check amounts.$	$"recorded it as t.vu dollars" - "written a check for t.uv dollars" = 0.81$
$We write each amount in terms of t, u, and v based on place value.$	$t + \frac{v}{10} + \frac{u}{100} - (t + \frac{u}{10} + \frac{v}{100}) = 0.81$	Theory & Tactics Method Card TRANS5-G Click to view full details
$We combine like terms to simplify the expression.$	$\frac{v}{10} - \frac{u}{10} + \frac{u}{100} - \frac{v}{100} = 0.81 \frac{9 ( v - u )}{100} = 0.81$
$We clear the denominator and solve for the difference.$	$9 (v - u) = 0.81 \times 100 9 (v - u) = 81 v - u = 9$
$We determine the digit values given the difference and identify which v matches an answer choice.$	$v - u = 9 Since u and v are digits, the only solution is v = 9 and u = 0 Among choices, only 9 appears$

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E

Her bank statement balance was 0.81 dollars greater than her checkbook showed. She discovered that she had written a check for t . uv dollars but recorded it as t . vu dollars, where each of t, u, and v is a digit from 0 through 9 . Which of the following could be the value of v ?

Explanation	Calculations	Help
$We translate the phrases to set up the difference between the recorded and actual check amounts.$	$"recorded it as t.vu dollars" - "written a check for t.uv dollars" = 0.81$
$We write each amount in terms of t, u, and v based on place value.$	$t + \frac{v}{10} + \frac{u}{100} - (t + \frac{u}{10} + \frac{v}{100}) = 0.81$	Theory & Tactics Method Card TRANS5-G Click to view full details
$We combine like terms to simplify the expression.$	$\frac{v}{10} - \frac{u}{10} + \frac{u}{100} - \frac{v}{100} = 0.81 \frac{9 ( v - u )}{100} = 0.81$
$We clear the denominator and solve for the difference.$	$9 (v - u) = 0.81 \times 100 9 (v - u) = 81 v - u = 9$
$We determine the digit values given the difference and identify which v matches an answer choice.$	$v - u = 9 Since u and v are digits, the only solution is v = 9 and u = 0 Among choices, only 9 appears$

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E