Question

In the given question, two equations numbered l and II are given. Solve both the equations and mark the appropriate answer.

I. x² – 44x + 448 = 0

II. y² – 28y + 195 = 0 

1. x > y
2. x < y
3. x ≥ y
4. x ≤ y
5. x = y or the relationship between x and y cannot be established.

Answer 1

Correct Answer - Option 1 : x > y

Calculation:

From I,

x² – 44x + 448 = 0

⇒ x² – 28x – 16x + 448 = 0

⇒ x(x – 28) – 16(x – 28) = 0

⇒ (x – 16)(x – 28) = 0

Taking, 

⇒ x – 16 = 0 or x – 28 = 0

⇒ x = 16 or x = 28

 

From II,

y² – 28y + 195 = 0 

⇒ y² – 15y – 13y + 195 = 0

⇒ y(y – 15) – 13(y – 15) = 0

⇒ (y – 15) (y – 13) = 0

Taking,

⇒ y – 15 = 0 or y – 13 = 0

⇒ y = 15 or y = 13

Comparison between x and y (via Tabulation)

Value of x	Value of y	Relation
16	15	x > y
16	13	x > y
28	15	x > y
28	13	x > y

∴ x > y is the correct option