Practice Questions for Algebra - Simple Equations

1. 2 Variable Equations | Algebra - Simple Equations

Find the value of m, from the following simultaneous equations.

5m + 7n = 11
7m + 5n = 1

(a)
3
(b)
-3
(c)
2
(d)
-2
(e)
-1

2. 2 Variable Equations | Algebra - Simple Equations

Twice of a number is 5 more than one-third of it. Find the number.

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7 8 9 4 5 6 1 2 3 0 . -

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3. 2 Variable Equations | Algebra - Simple Equations

The sum of two numbers is 72. The difference of the numbers is 8. Find the numbers.

(a)
22, 14
(b)
24, 48
(c)
40, 32
(d)
16, 24

4. 2 Variable Equations | Algebra - Simple Equations

Four pens and five erasers cost Rs. 128. Five pens and four erasers cost Rs. 124. Find the cost of each pen (in Rs.).

(a)
8
(b)
12
(c)
16
(d)
20

5. 2 Variable Equations | Algebra - Simple Equations

Chetan has Rs. 5,500 in her purse in denominations of hundred and fifty. She has 64 notes in all counting both hundred and fifty. How many hundred rupee notes does she have in her purse?

(a)
46
(b)
18
(c)
48
(d)
16
(e)
50

6. 2 Variable Equations | Algebra - Simple Equations

A man is 48 years older than his son. In four years, his age will be twice the age of his son. The present age of his son is:

(a)
28 years
(b)
36 years
(c)
40 years
(d)
44 years

7. 2 Variable Equations | Algebra - Simple Equations

If 1 is added to the numerator and denominator of a certain fraction, its value becomes 2/3 and if 1 is subtracted from the numerator and denominator of the original fraction, its value becomes 5/8. Find the original fraction.

(a)
20/57
(b)
13/39
(c)
11/17
(d)
14/42
(e)
13/38

8. 2 Variable Equations | Algebra - Simple Equations

Find the value of (x + y), from the given set of equations.

$\frac{5}{x} + \frac{7}{y} = 17$

$\frac{11}{x} + \frac{6}{y} = 28$

(a)
3/2
(b)
1/2
(c)
5/2
(d)
2

9. 2 Variable Equations | Algebra - Simple Equations

The sum of the present ages of a father and his son is 36 years. Three years ago, father's age was five times the age of the son. After 3 years, son's age will be:

(a)
8 years
(b)
14 years
(c)
18 years
(d)
11 years

10. 2 Variable Equations | Algebra - Simple Equations

In a two digit number sum of the digits is 7 and difference of the digits is 1. Find the smallest such number.

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7 8 9 4 5 6 1 2 3 0 . -

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2 Variable Equations | Algebra - Simple Equations

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