Advertisements
Advertisements
Question
If 45 is added to half a number, the result is triple the number. Find the number.
Advertisements
Solution
Let x be the number.
Then, half of the number is `x/2`.
According to the question,
`x/2 + 45 = 3x`
⇒ `(x + 90)/2 = 3x`
⇒ x + 90 = 6x
⇒ `x = 90/5 = 18`
Hence, the number is 18.
APPEARS IN
RELATED QUESTIONS
Set up equation and solve them to find the unknown number in the following case:
When I subtracted 11 from twice a number, the result was 15.
In an isosceles triangle, the base angles are equal. The vertex angle is 40°. What are the base angles of the triangle? (Remember, the sum of three angles of a triangle is 180°).
People of Sundargram planted trees in the village garden. Some of the trees were fruit trees. The number of non-fruit trees was two more than three times the number of fruit trees. What was the number of fruit trees planted if the number of non-fruit trees planted was 77?
In a test Abha gets twice the marks as that of Palak. Two times Abha's marks and three times Palak's marks make 280.
The solution of the equation is ______.
In a Mathematics quiz, 30 prizes consisting of 1st and 2nd prizes only are to be given. 1st and 2nd prizes are worth ₹ 2000 and ₹ 1000, respectively. If the total prize money is ₹ 52,000 then show that:
The equation formed is ______.
In a Mathematics quiz, 30 prizes consisting of 1st and 2nd prizes only are to be given. 1st and 2nd prizes are worth ₹ 2000 and ₹ 1000, respectively. If the total prize money is ₹ 52,000 then show that:
The solution of the equation is ______.
A number is 7 more than one-third of itself.
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?
The sum of two consecutive multiples of 2 is 18. Find the numbers.
In a class of 60 students, the number of girls is one-third the number of boys. Find the number of girls and boys in the class.
