Advertisements
Advertisements
Question
Three consecutive integers add up to 51. What are these integers?
Advertisements
Solution
Let three consecutive integers be x, x + 1, and x + 2.
Sum of these numbers = x+ x + 1 + x + 2 = 51
3x + 3 = 51
On transposing 3 to R.H.S, we obtain
3x = 51 − 3
3x = 48
On dividing both sides by 3, we obtain
`(3x)/3 = 48/3`
x = 16
x + 1 = 17
x + 2 = 18
Hence, the consecutive integers are 16, 17, and 18
RELATED QUESTIONS
The number of boys and girls in a class are in the ratio 7:5. The number of boys is 8 more than the number of girls. What is the total class strength?
Baichung’s father is 26 years younger than Baichung’s grandfather and 29 years older than Baichung. The sum of the ages of all the three is 135 years. What is the age of each one of them?
Fifteen years from now Ravi’s age will be four times his present age. What is Ravi’s present age?
A rational number is such that when you multiply it by `5/2`and add `2/3` to the product, you get `-7/12`. What is the number?
Sum of two numbers is 74. One of the numbers is 10 more than the other. What are the numbers?
The sum of two consecutive multiples of 10 is 210. The smaller multiple is ______.
The sum of three consecutive numbers is 156. Find the number which is a multiple of 13 out of these numbers.
Hamid has three boxes of different fruits. Box A weighs `2 1/2` kg more than Box B and Box C weighs `10 1/4` kg more than Box B. The total weight of the three boxes is `48 3/4` kg. How many kilograms (kg) does Box A weigh?
A lady went to a bank with Rs. 1,00,000. She asked the cashier to give her Rs. 500 and Rs. 1,000 currency notes in return. She got 175 currency notes in all. Find the number of each kind of currency notes.
On dividing Rs. 200 between A and B such that twice of A’s share is less than 3 times B’s share by 200, B’s share is?
