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$_x$ + 52\(_x...

If 55 $_x$ + 52 $_x$ = 77 $_{10}$ find X
...

If 55 $_x$ + 52 $_x$ = 77 $_{10}$ find X

A.

5

B.

6

C.

7

D.

10

View answer & explanation

Correct answer is C

5 $\times$ x $^1$ + 5 $\times$ x $^0$ + 5 $\times$ x $^1$ + 2 $\times$ x $^0$ = 77

(change all to base 10)
5x + 5 + 5x + 2 = 77
10x + 7 = 77
10x = 77-7
10x = 70
x = 70/10
x = 7

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