Q85 of 107 Page 104

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

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


⇒ 2x = 2


⇒ [Dividing both sides by 2]


⇒ x = 1


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


More from this chapter

All 107 →
83

Anamika thought of a number. She multiplied it by 2, added 5 to the product and obtained 17 as the result. What is the number she had thought of?

 84

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

 86

A number when divided by 6 gives the quotient 6. What is the number?

 87

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