Solution of an Equation

Q.

Three consecutive integers are such that when they are taken in increasing order and multiplied by 2 3 and 4 respectively they add up to 74 find this numbers

Q.

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

1. 10, 11, 12
2. 12, 13, 14
3. 23, 24, 25
4. 33, 34, 35

Q. A mother and her two daughters constructed a room for ₹62, 000. The elder daughter contributes 3/8 of her mother's contribution while the younger daughter contributes 1/2 of her mother share. How much do the three contribute individually?

Q.

Find two consecutive odd integers such that two-fifths of the smaller exceeds two-ninth of the greater by $4$.

Q.

Question 72

Solve the following:

$\frac{3x+2}{2x-3}=-\frac{3}{4}$

Q.

Question 65

Solve the following:

$\frac{2x-1}{5}=\frac{3x+1}{3}$

Q.

Question 53

Solve the following:

$\frac{5(1-x)+3(1+x)}{1-2x}=8$

Q. '3' is the solution for the equation 3x-9 =0 .

1. True
2. False

Q.

Twice a number increase by 5 is the same as 3 times the number decreased by 8, find the number

Q.

What should be added to the sum of $\frac{3}{7}$ and thrice of $-\frac{6}{7}$ to get $\frac{17}{13}$.

Q. Find a number such that one-fifth of it is less than one-fourth of it by 3.

Q. Find two consecutive integers such that two-fifth of the smaller exceeds two-ninth of the greater by 4

Q. $\frac{2}{5}$ of total number of students of a school come by car while $\frac{1}{4}$ of students come by bus to school. All the other students walk to school of which $\frac{1}{3}$ walk on their own and the rest are escorted by their parents. If 224 students come to school walking on their own, how many students study in that school?

Q.

If you subtract one upon two from a number and multiply the result by one upon two you get one upon it was what is the number

Q. Tick (✓) the correct answer:
The sum of two numbers is 95. If one exceeds the other by 15, then the smaller of the two is
(a) 40
(b) 35
(c) 45
(d) 55

Q.

If $x–\frac{7}{8}=\frac{7}{8}$, then $x=$____________

Q. The solution of the equation 6x-6 =0 is 1

1. True
2. False

Q.

A number, half of which, when added to 3, is equal to 1/4 th of that number subtracted from 12. The number is:

1. 12

2. 9

3. 3

4. 16

Q.

Express 289 as a sum of two consecutive integers.

Q. 73 exeeds a number by 23 what is the number?

Q. If 8 more than a number is 20, then the number is .

1. 14
2. 12
3. 16
4. 7

Q.

x=6 is the solution of the equation 6x-6=30

1. False

2. True

Q.

9 subtracted from half of a number gives 5. The number is ______ .

1. 28

2. 30

3. 32

4. 26

Q.

The numerator of a rational number is greater than its denominator by 5. If the numerator is decreased by 8 and the denominator is increased by 7, the new number obtained is 3/5. Find the number.

Q.

If 9 is the solution of variable x in the equation $\frac{5x-7}{2}=y,$then the value of y is ______.

1. 19
2. 16
3. 12
4. 17

Q. A number subtracted by 30 gives 14 subtracted by 3 times the number.Find the number

Q.

x=9 is the solution of the equation 7x+1=50.

1. True

2. False

Q. For which of the following linear equation(s) is $x=6$ a solution?

1. $3x+5=4x-1$
2. $x-5x=6$
3. $\frac{x-3}{x+3}=\frac{2}{6}$
4. $5x=6x+6$

Q.

Question 18

Fill in the blanks to make each statement true:

The solution of te equation 2y=5y-$\frac{18}{5}$ is ..............

Q. A number increased by 50 is 78 what is the number?