###### Advertisements

###### Advertisements

The sum of three consecutive integers is 5 more than the smallest of the integers. Find the integers.

###### Advertisements

#### Solution

Let one number be x

Then, the next two consecutive numbers will be x + 1 and x + 2

Sum of these three numbers = x + (x + 1) + (x + 2) = 3x + 3

According to the question,

3x + 3 = x + 5

⇒ 3x – x = 5 – 3 ......[Transposing x to LHS and 3 to RHS]

⇒ 2x = 2

⇒ `(2x)/2 = 2/2` .......[Dividing both sides by 2]

⇒ x = 1

∴ Hence, the numbers are 1, 1 + 1, 1 + 2 i.e., 1, 2, 3.

#### APPEARS IN

#### RELATED QUESTIONS

Set up equations and solve them to find the unknown numbers in the following case:

Munna subtracts thrice the number of notebooks he has from 50, he finds the result to be 8.

In an isosceles triangle, the base angles are equal. The vertex angle is 40°. What are the base angles of the triangle? (Remember, the sum of three angles of a triangle is 180°).

People of Sundargram planted trees in the village garden. Some of the trees were fruit trees. The number of non-fruit trees was two more than three times the number of fruit trees. What was the number of fruit trees planted if the number of non-fruit trees planted was 77?

The length of a rectangle is two times its breadth. Its perimeter is 60 cm.

- If the breadth of rectangle is x cm, the length of the rectangle is ______.
- Perimeter in terms of x is ______.
- The equation formed is ______.
- The solution of the equation is ______.

In a bag there are 5 and 2 rupee coins. If they are equal in number and their worth is ₹ 70, then

There are ______ 5 rupee coins and ______ 2 rupee coins.

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.

One of the two numbers is twice the other. The sum of the numbers is 12. Find the numbers.

The perimeter of a rectangle is 40 m. The length of the rectangle is 4 m less than 5 times its breadth. Find the length of the rectangle.

150 has been divided into two parts such that twice the first part is equal to the second part. Find the parts.

If one side of a square is represented by 18x – 20 and the adjacent side is represented by 42 – 13x, find the length of the side of the square.