Advertisements
Advertisements
प्रश्न
Six more than one-fourth of a number is two-fifth of the number. Find the number.
Advertisements
उत्तर
Let the required number = x
∴ One-fourth of the number = `"x"/4`
Two-fifth of the number = `"2x"/5`
According to the statement:
`"2x"/5 = 6 + "x"/4`
`=> "2x"/5 - "x"/ = 6/1`
`=> "2x"/5 xx 20 - "x"/4 xx 20 = 6 xx 20`
....[Multiplying each term by 20 because L.C.M. of 5,4 and 1 = 20]
⇒ 8x- 5x = 120
⇒ 3x = 120
⇒ x = `120/3`
x = 40
Required number = 40
APPEARS IN
संबंधित प्रश्न
Solve the following equation:
20 = 6 + 2x
Solve the following equation:
`("x" - 1)/("7x" - 14) = ("x" - 3)/("7x" - 26)`
Solve: `(4-3"x")/5 + (7 - "x")/3 + 4 1/3 = 0` Hence, find the value of 'p', if 3p - 2x + 1 = 0
Solve: 0.25 + `1.95/"x" = 0.9`
If Megha’s age is increased by three times her age, the result is 60 years. Find her age
Two consecutive natural numbers are such that one-fourth of the smaller exceeds one-fifth of the greater by 1. Find the numbers.
If the same number be added to the numbers 5, 11, 15 and 31, the resulting numbers are in proportion. Find the number.
Solve:
13(x − 4) - 3(x − 9) − 5(x + 4) = 0
The sum of two numbers is 4500. If 10% of one number is 12.5% of the other, find the numbers.
Solve the following inequalities
6(x + 6) ≥ 5(x – 3), x is a whole number
