A husband works for 6 straight days and then has a day off. His wife works for 5

Mathematics
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A husband works for 6 straight days and then has a day off. His wife works for 5 straight days and then has a day off. If the husband and wife are both off from work on the same day, in how many days will they both be off from work again?

May 28th, 2015

He is off every 7th day. She is off every 8th day.
In 56 days, the LCD of 7 & 8

If they are both off work, Husband will be off in +7+ days
Wife will be off in +8+ days
The days Husband is off are

7,14,21,28,35,42,49,56 days after day off
The days Wife is off are
8,16,24,32,40,48,56
They both will be off again in 56 days

May 28th, 2015

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May 28th, 2015
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