Question

If a and b are two digits, then the following fraction

(ab0+ab0ab)÷(ab) -1 is equal to.

A.21 B. 1010
C. 110
D. 111
E. 1110​

Answer 1

The answer to this is B.

Answer 2

B. 1010

Explanation:

Simplify:

• (ab0+ab0ab) ÷ (ab) - 1

Note that:

• ab = 10a +b
• ab0 = 10* (10a + b) = 10ab
• ab0ab = 1000ab + ab = 1001 ab

Therefore:

• (ab0+ab0ab) ÷ (ab) - 1 =
• (10ab + 1001ab) ÷ (ab) - 1 =
• (1011ab) ÷ (ab) - 1 =
• 1011 - 1=
• 1010

Correct choice is B.1010