Solving Equations

What is this?

Take half of this and one.
Then triple that and add four.
But the same result you would see if now you had added $23$.

Find the value for given blank,$\frac{x}{4}$_____$=\frac{x}{20}$

Gauri is $3$ years younger than Rashmi and Sutapa is $2$ year elder that Rashmi. If their combined age is $20$ years,then the sum of the ages of Gauri and Sutapa is $k$ years, find the value of $k$

The total number of bananas and oranges in a basket is $70$. If the number of oranges is $10$ more than five times that of bananas, find the number of bananas and oranges in the basket.

The breadth of a rectangle is $5$ m less than the length. The perimeter of the rectangle is $30$ m. Find the length and breadth of the rectangle.

The cost of two dozen pens is $₹ 288$. Find the cost of $10$ pens.

The sum of three consecutive numbers is $24.$ Find the numbers.

A number which is decreased by $40$ gives $60.$ Find the number.

Solve the following equation.

$5\mathrm{x}-15=2\mathrm{x}+6$

Solve the following equation.

$16-\frac{\mathrm{x}}{2}=10$.

Solve the following equation.

$5(\mathrm{x}-5)=30$

Solve for $x$:

$25x+26=101$

Write the algebraic equation for the following.

$-12$ is equal to a number subtracted from $36$. 

$\frac{\mathrm{x}}{4 }\times$ _____$=\frac{\mathrm{x}}{20}$

$\frac{x}{2}+\frac{x}{3}=$_____.

$7\mathrm{x}+$_____$=15\mathrm{x}$

Which of the following is the solution of the equation $5\mathrm{x}+12=2(\mathrm{x}+15)$.

Which of the following equation has the solution $\mathrm{x}=5?$

The equation for the statement, " The quotient of the division of a number with $5$ is $12$ '' is

Write the equation for the statement: 'Three more than a number is $41$'.