Advertisements
Advertisements
Question
The sum of three consecutive numbers is 156. Find the number which is a multiple of 13 out of these numbers.
Advertisements
Solution
Let three consecutive numbers be x, (x + 1) and (x + 2).
According to the question,
x + (x + 1) + (x + 2) = 156 ...[Given]
⇒ 3x + 3 = 156
⇒ 3x = 156 – 3 = 153
∴ `x = 153 xx 1/3 = 51`
Thus, we get the numbers 51, 51 + 1 and 51 + 2, i.e. 51, 52 and 53. Out of these, only 52 is a multiple of 13.
APPEARS IN
RELATED QUESTIONS
Fifteen years from now Ravi’s age will be four times his present age. What is Ravi’s present age?
Sum of two numbers is 74. One of the numbers is 10 more than the other. What are the numbers?
Deveshi has a total of ₹ 590 as currency notes in the denominations of ₹ 50, ₹ 20, and ₹ 10. The ratio of the number of ₹ 50 notes and ₹ 20 notes is 3: 5. If she has a total of 25 notes, how many notes of each denomination she has?
Rs. 13500 are to be distributed among Salma, Kiran and Jenifer in such a way that Salma gets Rs. 1000 more than Kiran and Jenifer gets Rs. 500 more than Kiran. Find the money received by Jenifer.
Anima left one-half of her property to her daughter, one-third to her son and donated the rest to an educational institute. If the donation was worth Rs. 1,00,000, how much money did Anima have?
The perimeter of a rectangle is 240 cm. If its length is increased by 10% and its breadth is decreased by 20%, we get the same perimeter. Find the length and breadth of the rectangle.
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.
A carpenter charged Rs. 2500 for making a bed. The cost of materials used is Rs. 1100 and the labour charges are Rs. 200/hr. For how many hours did the carpenter work?
For what value of x is the perimeter of shape 186 cm?
