Question

Sum of two numbers is 37 and their products is 342.Whatvaevethe number

Answer 1

Step-by-step explanation:

a + b = 37

ab = 342

(a - b)² = (a+b)² - 4ab

(a - b)² = 1369 - 1368 = 1

a - b = 1

a + b = 37

2a = 38

a = 19

19 - b = 1

b = 19-1

b = 18

So, the numbers are 19 and 18

Answer 2

Answer:

The value of x is 19 and y is 18.

Step-by-step explanation:

x+ y = 37 (Sum)

xy = 342 (Product)

(x - y)² = (x+y)² - 4xy

(x- y)² = 1369 - 1368 = 1

x - y = 1

x + y= 37

2x = 38

x = 19

19 - y = 1

y = 19-1

y = 18

So, the numbers are 19 and 18.