Applications of Simple Equations to Practical Situations

A number exceeds the other number by $12 .$ If their sum is $72,$ find the numbers.

Explain why vertically opposite angles must always be congruent.

Write which of them can be correct, If $\angle X$ and $\angle \mathrm{Y}$ are congruent.

$\angle \mathrm{X}=\angle \mathrm{Y}$ , $\mathrm{m}\angle \mathrm{X}=\mathrm{m}\angle \mathrm{Y}$ , $\angle \mathrm{X}\cong \angle \mathrm{Y}$

Subramaniam and Naidu donate some money in a Relief Fund. The amount paid by Naidu is $₹ 125$ more than that of Subramaniam. The total money paid by them is $₹ 975.$ If the amount of money donated by Subramaniam is $₹k$, find $k$.

Two times a number increased by $5$ equals $9$. Find the number.

In a school, the number of girls is $50$ more than the number of boys. The total number of students is $1070$ . Find the number of girls.

What does a duck do when it flies upside down? The answer to this riddle is hidden in the equation given below:

If $i+69=70$, then $i=?$ If $8u=6u+8$, then $u=$?

If $4a=-5a+45$, then $a=$? If $4q+5=17$, then $q=$?

If $-5t-60=-70$, then $t=$? If $\frac{1}{4}s+98=100$, then $s=$?

If $\frac{5}{3}p+9=24$, then $p=$?

If $3c=c+12$, then $c=$?

If $3\left(k+1\right)=24$, then $k=$?

For riddle answer: substitute the number for the letter it equals

$\overline{1} \overline{2} / \overline{3} \overline{4} \overline{5} \overline{6} \overline{7} \overline{8} / \overline{4} \overline{9}$

The interest received by Karim is $₹ 30$ more than that of Ramesh. The total interest received by them is $₹70$. If the interest received by Ramesh is $₹k$, find $k$.

Seven times a number is $12$ less than thirteen times the same number. Find the number.

The age of Sohan Lal is four times that of his son Amit. If the difference of their ages is $27$ years, find the age of Amit in the number of years.

The given figure represents a weighing balance. The weights of some objects in the balance are given. The weight of the circle is $k kg$. Find the value of $k$.

The three scales below are perfectly balanced if $\bullet =3$. What is the value of $△$?

(a) 

(b) 

(c) 

The three scales below are perfectly balanced if $\bullet =3$. What is the value of $*$?

(a) 

(b) 

(c) 

The three scales below are perfectly balanced if $\bullet =3$. What are the values of $△$ and $*$?

(a) 

(b) 

(c)