The product of two whole numbers is 196 and their sum is 35. what are the two numbers

The values of a and b which gives a product of 196 and a sum of 35 are 28 and 7

Let the two number be a and b :

Product of the two numbers :

Sum of the two numbers :

From (2) :

Substituting (3) into (1)

(35 - b) × b = 196

35b - b² = 196

-b² + 35b - 196 = 0

b² - 35b + 196

Solving the quadratic equation

b² - 28b - 7b + 196 = 0

b(b - 28) - 7(b - 28) = 0

b = 28 or b = 7

From (3)

a = 35 - 28

a = 7

Therefore, the values of a and b are 28 and 7

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