1.

The difference between two positive numbers is 3. If the sum of their squares is 369, then the sum of the numbers is1). 812). 333). 274). 25

Answer»

Let the two numbers be a and b

Now as per the given INFORMATION,

a – b = 3….(1)

a2 + b2 = 369…..(2)

From (1), a = b + 3

Put the value of a in equation (2)

a2 + b2 = (b + 3)2 + b2 = b2 + 9 + 6b + b2 = 369

⇒ 2b2 + 6b + 9 = 369

⇒ 2b2 + 6b – 360 = 0

⇒ b2 + 3b – 180 =0

⇒ (b - 12) (b + 15) = 0

⇒ b = 12(b is not equal to 15 because b is positive)

Put the value of b in equation (1)

∴ a = 12 + 3 = 15

Thus sum of two numbers = a + b = 15 + 12 = 27.


Discussion

No Comment Found