Question

The sum of two numbers is 12450.if 15/2% ofone number be equal to 17/2% of the other.Find thenumbers

Answer 1

Answer:

105825/16 and 93375/16

Step-by-step explanation:

Let the numbers be x and y.

Sum of the numbers i.e, x + y = 12450 ----- (1)

15/2 % of x = 17/2 % of y

⇒ (15/2)*100*x = (17/2)*100*y

⇒ 15x = 17y

⇒ x = 17y/15 ----- (2)

Substituting the above x value in (1) we get,

⇒ 17y/15 + y = 12450

⇒ 32y/15 = 12450

⇒ y = 12450*15/32

⇒ y = 93375/16

Substituting the y value in (2)

⇒ x = (17/15)*(93375/16)

⇒ x = 105825/16

Therefore, the numbers are 105825/16 and 93375/16.