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  1. A can do a work in 12 days and B can do it in 16 days. A and B started the work jointly and A left 2 days before the work is finished. Find the number of days they took to finish the work.
    (1) (2)
    1. 6 days
    2. 7 days
    3. 9 days
    4. 8 days
Correct Option: D

Let the required number of days be x.
∴ A’s work in (x – 2) days

=
x- 2
12

B’s work in x days =
x
16

=
x - 2
+
x
= 1
1216

4x - 8 + 3x
= 1
48

⇒ 7x = 48 + 8 = 56
⇒ x = 8 days



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