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2018 AMC 10B Problem 19

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2018 AMC 10B Problem 19AMC 10 Step by Step

Name: Date: September 13, 2026

Divisibility & Factors · difficulty 4 of 5 · about 6 min · position P16-20

Joey and Chloe and their daughter Zoe all have the same birthday. Joey is $1$ year older than Chloe, and Zoe is exactly $1$ year old today. Today is the first of the $9$ birthdays on which Chloe's age will be an integral multiple of Zoe's age. What will be the sum of the two digits of Joey's age the next time his age is a multiple of Zoe's age?

A)
$7$
B)
$8$
C)
$9$
D)
$10$
E)
$11$

2018 AMC 10B Problem 19

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