Question

The sum of two numbers is 17, their product is 60. what are the two numbers.

Answer 1

Answer: 5 and 12

Step-by-step explanation:

factors of 60: (1,60) (2,30) (3,20) (4,15) (5,12) (6,10)

sum of the factors in pairs respectively: (61), (32) , (23) , (19) , (17) , (16)

here, it is clearly seen that the sum of 5 and 12 is 17 and their product is 60

hence, it is proved that the two numbers are 5 and 12

Answer 2

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Let the number be y

Given:-

The sum of two numbers is 17,

• x + y = 17 -----> 1

Their product is 60,

• x × y = 60 -----> 2

Solve the equation by substitution method.

x = 17 - y ----->3

Substitute the value of x in equation 2

17 -y × y = 60

17 - y² = 60

y² - 17y + 60 = 0

y² -12y - 5y - 60 = 0

y (y - 12) -5 (y -12) = 0

(y - 12) (y -5) = 0

y -12 = 0 OR y - 5 =0

y = 12 OR y = 5

•°• the two numbers = 12,5