The sum of 2 number is 13 and the sum of thrie cube is 1066. Find the product of the 2 numbers?
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The product of two numbers is 29.
Given - Sum and sum of cube
Find - Product of 2 numbers
Solution - Let the two numbers be x and y. Representing the given information in equation form. Two equations will be formed as per the question -
Equation 1 - x + y = 13
Equation 2 - x³ + y³ = 1066
The formula relating the two equation is -
(x+y)³ = x³ + y³ + 3xy(x+y)
Now keeping the value of sum and cube values in above formula to find the product of two numbers.
13³ = 1066 + 3(xy)*13
Solving the equation to find the product of two numbers
2197 - 1066 = 39xy
Performing subtraction
1131 = 39xy
xy = 1131/39
Performing Division
xy = 29
Hence, the product of two numbers is 29.
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