Follow the directions and correct the given incorrect equation written in Roman numerals: Remove two of these matchsticks to make a valid equation: IX - VI = V.

5

(a)

What will be the value of y for which expressions (y -15) and (2y + 1) becomes equal?

5

(a)

The age of Sohan Lal is four times that of his son Amit. If the difference of their ages is 27 yr, find the age of Amit.

5

(a)

The perimeter of a rectangle is 40 m. The length of the rectangle is 4 m less than 5 times its breadth. Find the length of the rectangle.

5

(a)

If 45 is added to half a number, then result is triple the number. Find the number.

5

(a)

In a class of 60 students, the number of girls is one-third the number of boys. Find the number of girls and boys in the class.

5

(a)

Karim and Ramesh are two close friends. Both invested some amount in interest giving plan of a bank. At the end of the plan, Karim received Rs 13000 more than that of Ramesh. But Ramesh needs some more money for an urgent work. If Karim gives \(\frac{1}{2}\) of interest earned by him to Ramesh, also the total interest received by them is Rs 17000. Find the interest received by Ramesh and what amount is given by Karim to Ramesh for his help. What type of value depict by Karim?

5

(a)

Express each of the given statements as an equation.
(i) If 1 is subtracted from a number and the difference is multiplied by \(\frac{1}{2}\), the result is 7.
(ii) Mohan is 3 yr older than Sohan. The sum of their ages is 43 yr.
(iii) Five times a number increased by 7 is 27.

5

(a)

A man travelled two-fifth of his journey by train, one-third by bus, one-fourth by car and the remaining 3 km on foot. What is the length of his total journey?

5

(a)

Each of the 2 equal sides of an isosceles triangle is twice as large as the third side. If the perimeter of the triangle is 30 em, find the length of each side of the triangle.

5

(a)