In the following question, one or two equation(s) is/are given. You have to solve both the equations and find the relation between ‘x’ and ‘y’ and mark correct answer. I. 9x – 15.45 = 54.55 + 4x II. \(\sqrt {y + 155}

In the following question, one or two equation(s) is/are given. You have to solve both the equations and find the relation between ‘x’ and ‘y’ and mark correct answer.

I. 9x – 15.45 = 54.55 + 4x

II. \(\sqrt {y + 155} - \sqrt {36} = \sqrt {49}\)

A x > y

B x ≥ y

C x < y

D x ≤ y

E x = y or the relation cannot be determined

Solution

Correct Answer: Option E

We will solve both the equations separately.

Equation I:

9x – 15.45 = 54.55 + 4x

⇒ 9x – 4x = 70

⇒ 5x = 70

⇒ x = 14

Equation II:

\(\begin{array}{l} \sqrt {y + 155} - \sqrt {36} = \sqrt {49} \\ \Rightarrow \sqrt {y + 155} - 6 = 7\\ \Rightarrow \sqrt {y + 155} = 13 \end{array}\)

On squaring both sides,

y + 155 = 169

⇒ y = 169 – 155

⇒ y = 14

Comparing the values of x and y, we get,

x = y

Solution

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