Advertisements
Advertisements
Question
One out of two numbers is thrice the other. If their sum is 124, find the numbers.
Solution
Let one of the number be 'x'
∴ Second number = 3x
According to the question:
x + 3x = 124
or, 4x = 124
or, `(4x)/4=124/4` [Dividing both the sides by 4]
or, x = 31
Thus, the required number is x = 31 and 3x = 3××31 = 93.
APPEARS IN
RELATED QUESTIONS
Write down the following in the product form: 6y5
If 11 is subtracted from 4 times a number, the result is 89. Find the number.
The sum of three consecutive natural numbers is 114. Find the numbers.
Mrs. Goel is 27 years older than her daughter Rekha. After 8 years she will be twice as old as Rekha. Find their present ages.
A man is thrice as old as his son. Five years ago the man was four times as old as his son. Find their present ages.
If I spend f rupees from 100 rupees, the money left with me is ______ rupees.
If x is a negative integer, – x is a positive integer.
A wire is (7x – 3) metres long. A length of (3x – 4) metres is cut for use. Now, answer the following questions:
- How much wire is left?
- If this left out wire is used for making an equilateral triangle. What is the length of each side of the triangle so formed?
The sum of first n natural numbers is given by `1/2n^2 + 1/2n`. Find the sum of natural numbers from 11 to 30.
The sum of squares of first n natural numbers is given by `1/6n(n + 1)(2n + 1)` or `1/6(2n^3 + 3n^2 + n)`. Find the sum of squares of the first 10 natural numbers.
