If ( 127 ) 8 + ( 12 ) 6 = ( x ) 5 . Find the value of x. Options: A . &nbsp 230 B . &nbsp 124 C . &nbsp 340 D . &nbsp 240 E . &nbsp None of these

Answer: Option C : C Write all the numbers in base 10 and then arrive at the answer 127 in base 8 = 7 × 1 + 2 × 8 + 1 × 8 2 = 87 in base 10 12 in base 6 = 2 × 1 + 1 × 6 = 8 in base 10 Adding both = 95 in base 10 Expressing in base 5 = 340

If (127)8+(12)6=(x)5. Find the value of x.

Question

If $(127)_{8} + (12)_{6} = (x)_{5}$ . Find the value of x.

Answer: Option C
:
C

Write all the numbers in base $10$ and then arrive at the answer

$127$ in base $8 = 7 \times 1 + 2 \times 8 + 1 \times 8^{2} = 87$ in base $10$

$12$ in base $6 = 2 \times 1 + 1 \times 6 = 8$ in base $10$

Adding both $= 95$ in base $10$

Expressing in base $5 = 340$

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