Advertisements
Advertisements
Question
The sum of two consecutive multiples of 2 is 18. Find the numbers.
Advertisements
Solution
Let the two consecutive multiples of 2 be 2x and 2x + 2.
According to the question,
2x + 2x + 2 = 18
⇒ 4x + 2 = 18
⇒ 4x = 18 – 2 ...[Transposing 2 to RHS]
⇒ 4x = 16
⇒ `(4x)/4 = 16/4` ...[Dividing both sides by 4]
⇒ x = 4
Hence, the required numbers are 2x = 2 × 4 = 8 and 2x + 2 = 2 × 4 + 2 = 10.
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?
Raju’s father’s age is 5 years more than three times Raju’s age. Find Raju’s age, if his father is 44 years old.
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 interest received by Karim is ₹ 30 more than that of Ramesh. If the total interest received by them is ₹ 70, find the interest received by Ramesh.
After 25 years, Rama will be 5 times as old as he is now. Find his present age.
If 45 is added to half a number, the result is triple the number. Find the number.
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.
One of the two numbers is twice the other. The sum of the numbers is 12. Find the numbers.
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?
Follow the directions and correct the given incorrect equation, written in Roman numerals:
Move one matchstick to make the equation valid. Find two different solutions.
