Question

Sum of two odd no is 38 and their product is 325 find no

Answer 1

The two odd numbers are 25 and 13.

Step-by-step explanation:

Let the two odd numbers = x and y

To find, the two odd numbers = ?

According to question,

x+y = 38          ....... (1)

Aso.

xy = 325           ....... (2)

Using the algebraic identity,

$(x-y)^{2}=(x+y)^{2}-4xy$

From equations (1) and (2), we get

⇒ $(x-y)^{2}=(38)^{2}-4(325)$

⇒ $(x-y)^{2}$ = 1444 - 1300 = 144

⇒ $(x-y)^{2} = 12^2$

⇒ x - y = 12           ....... (3)

Adding equations (1) and (3), we get

x + y + (x - y) = 38 + 12

⇒ 2x = 50

⇒ x = 25

Put x = 25 in (1), we get

25 + y = 38

⇒  y = 38 - 25 = 13

Thus, the two odd numbers are 25 and 13.