Question

1. The sum of two numbers is 25 and their product is 144. Find the numbers.​

Answer 1

Answer:

sum of 2 numbers is 25 product is 144.

let the number be x.

x+25=144

x=144-25

x=119

check:129+25=144

Answer 2

Given :-

The sum of two numbers = 25

The product of two numbers = 144

To Find :-

Find the numbers.

Solution :-

Let the two numbers be 'x' and 'y' respectively.

Given that,

The sum of two numbers is 25 and their product is 144.

Condition by sum,

x + y = 25

x = 25 - y   ....(1)

Condition by product,

xy = 144

Putting the value of x,

(25 - y) y = 144

25y - y² = 144

y² - 25y + 144 = 0

y² - 16y - 9y + 144 = 0

y² - 16y - 9y + 144 =0

y (y - 16) - 9 (y - 16) = 0

(y - 9) (y - 16) = 0

y = 9 or y = 16

Substitute the value of y,

x = 25 - y

x = 25 - 16

x = 9

Next,

x = 25 - 9

x = 16

Therefore, the numbers are 9 and 16.