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In the equation 2x = 4 – x, transposing –x to LHS, we get x = 4. State whether the statement is true (T) or false (F).

The given statement is False Explanation Given that 2x = 4 – x Transposing –x to LHS it becomes x 2x + x = 4 3x = 4 X = 3/4... View Article

In the equation 3x – 3 = 9, transposing –3 to RHS, we get 3x = 9. State whether the statement is true (T) or false (F).

The given statement is False Explanation Given that 3x – 3 = 9 Transposing –3 to RHS it becomes 3 3x = 9 + 3 3x = 12... View Article

Two different equations can never have the same answer. State whether the statement is true (T) or false (F).

The given statement is False Explanation Given that Two different equations can have the same answer For example: – (i) 6x + 3 = 9... View Article

A and B are together 90 years old. Five years ago A was thrice as old as B was. Hence, the ages of A and B five years back would be (x – 5) years and (85 – x) years respectively. State whether the statement is true (T) or false (F).

The given statement is True Explanation Given that Let us assume the age of A is y years. So, age of B = (90 – y) years. Then,... View Article

The number of boys and girls in a class are in the ratio 5:4. If the number of boys is 9 more than the number of girls, then number of boys is 9. State whether the statement is true (T) or false (F).

The given statement is False Explanation Given that The number of boys and girls in a class is in the ratio of 5:4 Let us assume the number... View Article

Sum of the ages of Anju and her mother is 65 years. If Anju’s present age is y years then her mother’s age before 5 years is (60 – y) years. State whether the statement is true (T) or false (F).

The given statement is True Explanation Given that Anju’s present age = y years The present age of Anju’s mother = (65... View Article

In a 2 digit number, the units place digit is x. If the sum of digits be 9, then the number is (10x – 9). State whether the statement is true (T) or false (F).

The given statement is False Explanation Given that The unit’s place digit is = x Sum of two digits = 9 Hence Ten’s digit = 9... View Article

Shikha’s present age is p years. Reemu’s present age is 4 times the present age of Shikha. After 5 years Reemu’s age will be 15p years. State whether the statement is true (T) or false (F).

The given statement is False Explanation Given that Shikha’s present age is p years Reimu's present age is 4 times the present age of... View Article

3 years ago, the age of a boy was y years. His age 2 years ago was (y – 2) years State whether the statement is true (T) or false (F).

The given statement is False Explanation Given that 3 years ago, age of boy= y yearsThen, the present age of boy=(y+3) years∴2 years... View Article

The sum of two consecutive multiples of 10 is 210. The smaller multiple is _________.

The sum of two consecutive multiples of 10 is 210. The smaller multiple is 100. Explanation Let us consider the two consecutive multiples... View Article

The denominator of a rational number is greater than the numerator by 10. If the numerator is increased by 1 and the denominator is decreased by 1, then expression for new denominator is _________.

The denominator of a rational number is greater than the numerator by 10. If the numerator is increased by 1 and the denominator is decreased by... View Article

Convert the statement adding 15 to 4 times x is 39 into an equation _________.

Convert the statement Adding 15 to 4 times x is 39 into an equation 4x + 15 = 39. Explanation According t the given data 4 times x is=> 4x... View Article

After 18 years, Swarnim will be 4 times as old as he is now. His present age is _________.

After 18 years, Swarnim will be 4 times as old as he is now. His present age is 6 years. Explanation According t the given data Let us assume... View Article

If (2/5)x – 2 = 5 – (3/5)x, then x = _______ .

If (2/5)x – 2 = 5 – (3/5)x, then x = 7 Explanation According t the given data (2/5)x – 2 = 5 – (3/5)x Transposing -2... View Article

9 is subtracted from the product of p and 4, the result is 11. The value of p is _________.

9 is subtracted from the product of p and 4, the result is 11. The value of p is 5. Explanation According t the given data 9 is subtracted... View Article

When a number is divided by 8, the result is –3. The number is _________.

When a number is divided by 8, the result is –3. The number is -24. Explanation Let us assume the number to be n, Then, n/8 = -3 n =... View Article

(x/5) + 30 = 18 has the solution as ______.

(x/5) + 30 = 18 has the solution as -60. Explanation According to the given details (x/5) + 30 = 18 On shifting 30 to RHS and it becomes -30.... View Article

On subtracting 8 from x, the result is 2. The value of x is _________.

On subtracting 8 from x, the result is 2. The value of x is 10. Explanation According to the given details On subtracting 8 from x, the result... View Article

A term of an equation can be transposed to the other side by changing its _________.

A term of an equation can be transposed to the other side by changing its sign. Explanation For example, 4x+2=8 is a linear equation having a... View Article

The share of A when Rs 25 are divided between A and B so that A gets Rs. 8 more than B is _________.

The share of A when Rs 25 are divided between A and B so that A gets Rs. 8 more than B is Rs 16.50. Explanation Let us assume B share be S... View Article

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