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Find the product of two number is 10000 if one number is 16 times the other find the number?
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Find the product of two number is 10000 if one number is 16 times the ...
Finding Two Numbers When Their Product is Known and One is 16 Times the Other


When given a problem that requires finding two numbers whose product is known and one is a multiple of the other, the following steps can be taken:



  1. Assign Variables: Let x be one of the numbers we are looking for. Since the other number is 16 times the first, we can let y = 16x.

  2. Write the Equation: The product of the two numbers is 10000, so we can write the equation as:

    3. x * y = 10000

    x * 16x = 10000

  3. Solve for x: Simplify the equation by multiplying the x terms and solving for x.

    4. 16x^2 = 10000

    x^2 = 625

    x = 25

  4. Find y: Since we know y = 16x, we can substitute x = 25 to find y:

    5. y = 16(25) = 400



Therefore, the two numbers are 25 and 400.
Community Answer
Find the product of two number is 10000 if one number is 16 times the ...
Xx16X=10000
X^2=10000/16=625
X=25
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