Question 1163911
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The number of days to the next time both plants are watered on the same day is the least common multiple (LCM) of 10 and 14.<br>
There are numerous ways to find the LCM of two integers.  Here is the one I like best:<br>
(1) Make a fraction from the two integers: {{{10/14}}}
(2) Simplify as far as possible: {{{10/14 = 5/7}}}
(3) Cross multiply in either direction to get the LCM: {{{14*5=70}}}, or {{{10*7=70}}}<br>
ANSWER: The plants will again be watered on the same day 70 days from now.<br>
Note you can get some good mental exercise by solving the problem informally.<br>
The LCM has to be a multiple of 10; since the other number 14 is even, you can get the LCM by multiplying by 5: 14*5 = 70.<br>