Advertisements
Advertisements
Question
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
The teacher tells the class that the highest marks obtained by a student in her class is twice the lowest marks plus 7. The highest score is 87. What is the lowest score?
Find a number, such that one-fourth of the number is 3 more than 7.
The sum of two numbers is 60 and their difference is 30.
The equation formed is ______.
In a bag there are 5 and 2 rupee coins. If they are equal in number and their worth is ₹ 70, then
The equation formed is ______.
If 1 is subtracted from a number and the difference is multiplied by `1/2`, the result is 7.
Subramaniam and Naidu donate some money in a Relief Fund. The amount paid by Naidu is ₹ 125 more than that of Subramaniam. If the total money paid by them is ₹ 975, find the amount of money donated by Subramaniam.
In a family, the consumption of wheat is 4 times that of rice. The total consumption of the two cereals is 80 kg. Find the quantities of rice and wheat consumed in the family.
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.
A man travelled two fifth of his journey by train, one-third by bus, one-fourth by car and the remaining 3 km on foot. What is the length of his total journey?
In a certain examination, a total of 3768 students secured first division in the years 2006 and 2007. The number of first division in 2007 exceeded those in 2006 by 34. How many students got first division in 2006?
