Applications (Word Problem)

Q.

The sum of the digits of a two digit number is 12. The number obtained by reversing its digits exceeds the given number by 18. Then the number is______

1. 25

2. 75

3. 57

4. 52

Q. Find the three consecutive numbers such that twice the first 3 times the second and 4 times the third together make 191

Q.

The sum of two numbers is 45 and one is twice the other. What is the smaller number?

1. 15

2. 25

3. 2530

4. 35

Q.

The present age of Pratik and Arjun are in the ratio 2 : 3. After 4 years, the ratio of their ages will be 4 : 5. The present age of Pratik would be_____years.

___

Q.

ram is half of his fathers age.twenty years ago the age of father was six times age of ram.find age of ram and his father

Q. The mean of x, x+1, x+2 is 9, the value of x is:

1. 4
2. 5
3. 7
4. 8

Q. There are three algebraic methods for solving a pair of linear equation in two variables.

1. True
2. False

Q.

The difference between two numbers is 45 and one number is six times the other. Find them.

1. 9, 54

2. 6, 36

3. 7, 42

4. 8, 48

Q. Among the given rational numbers, find the second largest number.
<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $\frac{-4}{3}$, <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $\frac{-7}{8}$, <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $\frac{-9}{12}$, <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $\frac{-19}{24}$

1. $\frac{-9}{12}$
2. $\frac{-19}{24}$
3. $\frac{-7}{8}$
4. $\frac{-4}{3}$

Q. What is the condition to ensure that an equation will actually remain a linear equation in TWO Variables ?

Q. A fraction becomes $\frac{1}{3}$, if $1$ is subtracted from both its numerator and denominator. If $3$ is added to both the numerator and the denominator, it becomes $\frac{1}{2}$. Find the fraction.

Q. The age of father 3 years ago was 2.5 times of his sons age and after 7 years it will be twice to that of his son, the present age of the father and son will be _____.

1. 53, 20
2. 49, 21
3. 48, 20
4. 52, 23

Q. Two years ago, Dilip was three times as old as his son and two years hence, twice his age will be equal to five times that of his son. Then the present age of Dilip is ___________.

1. $38$ years
2. $34$ years
3. $32$ years
4. $14$ years

Q. Vikas is three years older then deepika. six years years ago, vikas's age was four times Deeika's age. Find the ages of Deepika and vikas.

Q.

Give the geometric representations of y = 3 as an equation

(i) in one variable

(ii) in two variables

Q. Sum of three consecutive numbers is 39. Find the numbers.

Q. The length of each of the equal sides of an isosceles triangle is $4cm$ longer than the base. If the perimeter of the triangle is $62cm$, find the length of the sides of the triangles.

Q.

The length of a side of a square is given as 2x + 3. Which expression represents the perimeter of the square?

Q.

The present age of Pratik and Arjun are in the ratio 2 : 3. After 4 years, the ratio of their ages will be 4 : 5. The present age of Pratik would be

___ years.

Q.

Present ages of Shreya and Kavita are in the ratio $3:4$. Five years after, the ratio of their ages will be $4:5$. Find their present ages.

Q. The measures of the angles of a triangle are in A.P. and the angle with largest measure has radian measure $\frac{5\pi }{12}$. then find the measure of the angle with smallest measure.

Q.

If Jen was born 2 years after Kim and Kim is 1 year older than Charlie, who is the eldest one?

1. Kim

2. Jen

3. Charlie

4. Charlie's Dad

Q.

The length of a side of a square is given as 2x + 3. Which expression represents the perimeter of the square?

Q. Given that $\frac{x^2+6x+9}{x+3}=7$, what is $x$?

1. $3$
2. $-4$
3. $-3$
4. $2$

Q. Solve:$7x+3\le 5$

Q. A man is five times as old as his son. In two years time, he will be four times as old as his son. Find their present ages.

Q.

The sum of the digits of a two-digit number is 9. Also, twice this number is nine times the number obtained by reversing the order of the digits. Find the number.

1. 81

2. 18

3. 71

4. 17

Q. A man buys some toffees at 5 toffee in 3rupee and same number of toffee at 5 toffee in rs4. He sold all of them at 5 toffee in 4 rupee. Find his overall gain or loss percent?

Q.

Twenty years from now, Arjun will become three times as old as he is now. His present age is

___ yrs.

Q. If $x=2\alpha +1$ and $y=\alpha -1$ is a solution of the equation $2x-3y+5=0$. Find the value of $\alpha$.