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Question
The product of two numbers is 1296. If one number is 16 times the other, find the numbers.
Solution
Let the two numbers be a and b.
From the first statement, we have:
a x b = 1296
If one number is 16 times the other, then we have:
b = 16 x a.
Substituting this value in the first equation, we get:
a x (16 x a) = 1296
By simplifying both sides, we get:
a2 = 1296/16 = 81
Hence, a is the square root of 81, which is 9.
To find b, use equation b = 16 x a.
Since a = 9:
b = 16 x 9 = 144
So, the two numbers satisfying the question are 9 and 144.
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