Chhattisgarh Board Solutions for Chapter: Equation, Exercise 4: EXERCISE 12.2

The sum of two numbers is $42$. If the second number is twice the first one, find the numbers.

Neeraj has mangoes three times that of Mayank, if Mayank is given $8$ mangoes more than Neeraj is given $6$ mangoes more, the ratio of mangoes with Manaynk and Neeraj will become $1:2$. Then how many mangoes does each of them have?

Out of two equilateral triangles, the sides of the first triangle is $3 cm$ more than that of the second. The ratio of the perimeters of both the triangle is $5:2$, then find out the sides of the triangles.

In a two-digit number, the tens place digit is three times the digits in the units place. If the digits are reversed, the new number becomes $36$ less then the original number. Find the number.

The sum of the digits of a two-digit number is $7$. On reversing the digits, the new number is obtained is $9$ more than the original number. Find the number.

The denominator of a rational number is $2$ more than its numerator. If the numerator is increased $4$ times, and $8$ is added to the denominator, the new number would be $\frac{4}{3}$. Find the original number. 

The ages of Arun and Aakash are in the ratio of $7:5$. After $6$ years, their ages would be in the ratio of $5:4$. Find their present ages.

Manisha's mother is thrice the age of manisha. After $4$ years, mother's age would be two and a half times that of Manisha. Find their present ages?