SAT Math Practice Question #25048 - SATify | SATify

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SAT Math Practice Question #25048 - SATify | SATify

#25048

number theory

bases

medium

120 sec

In the equation below, $A$ and $B$ are consecutive positive integers, and $A$ , $B$ , and $A + B$ represent number bases:

$1 2_{A} + 3 4_{B} = 2 7_{A + B} .$

What is $A + B$ ?

A.

7

B.

9

C.

11

D.

13

E.

15