Advertisements
Advertisements
Question
Two-third of a number is greater than one-third of the number by 3. Find the number.
Solution
Let the number x.
Then, two-third of this number = `2/3x` and one-third of this number = `1/3x`.
According to the question,
`2/3 x = 1/3 x + 3`
⇒ `2/3x - 1/3 x` = 3
⇒ `(2x - x)/3` = 3 ......[Taking LCM on LHS]
⇒ `x/3` = 3
⇒ `x/3 xx 3` = 3 × 3 ......[Multiplying both sides by 3]
⇒ x = 9
Hence, the required number is 9.
APPEARS IN
RELATED QUESTIONS
If a = 2 and b = 3, find the value of a2 + ab
If p = −2, q = −1 and r = 3, find the value of p2 + q2 − r2
Subtract:
−11x2y2 + 7xy −6 from 9x2y2 −6xy + 9
If A = 7x2 + 5xy − 9y2, B = −4x2 + xy + 5y2 and C = 4y2 − 3x2 − 6xy then show that A + B + C = 0.
If a = 5, the value of 2a + 5 is ____________
The successor of an integer.
Perimeter of a rectangle is found by using the formula P = 2(l + w), where l and w are respectively the length and breadth of the rectangle. Write the rule that is expressed by this formula in words.
Identify the operations (addition, subtraction, division, multiplication) in forming the following expression and tell how the expression have been formed.
17y, `"y"/17`, 5z
Give expression in the following case.
y is multiplied by − 8 and then 5 is added to the result
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:
- If 1st prizes are x in number the number of 2nd prizes are ______.
- The total value of prizes in terms of x are ______.
- The equation formed is ______.
- The solution of the equation is ______.
- The number of 1st prizes are ______ and the number of 2nd prizes are ______.
