Math, asked by ov2085, 1 year ago

The sum of 2 number is 13 and the sum of thrie cube is 1066. Find the product of the 2 numbers?

Answers

Answered by arfa36
12

Answer:

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Answered by PoojaBurra
1

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.

#spj2

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