Advertisements
Advertisements
प्रश्न
What number must be added to each of the numbers 5, 11, 19 and 37 so that they are in proportion?
उत्तर
Let x be added to 5, 11, 19 and 37 to make them in proportion.
5 + x : 11 + x : : 19 + x : 37 + x
⇒ (5 + x) (37 + x) = (11 + x) (19 + x)
⇒ 185 + 5x + 37x + x2 = 209 + 11x + 19x + x2
⇒ 185 + 42x + x2 = 209 + 30x + x2
⇒ 42x - 30x + x2 - x2 = 209 - 185
⇒ 12x = 24
⇒ x = 2
∴ Least number to be added = 2.
APPEARS IN
संबंधित प्रश्न
If y is the mean proportional between x and z, prove that: `(x^2 - y^2 + z^2)/(x^(-2) - y^(-2) + z^(-2)) = y^4`.
Using properties of proportion, solve for x:
`(sqrt(x + 1) + sqrt(x - 1))/(sqrt(x + 1) - sqrt(x - 1)) = (4x - 1)/2`
What number must be added to each of the number 16, 26 and 40 so that the resulting numbers may be in continued proportion?
A transport company charges Rs 540 to carry 25 tonnes of weight. What will it charge to carry 35 tonnes?
A given quantity of rice is sufficient for 60 persons for 3 days. How many days would the rice last for 18 persons?
Choose the correct answer from the given options :
If x, 12, 8 and 32 are in proportion, then the value of x is
If two ratios are equal, then they are in ______.
The length and breadth of a school ground are 150 m and 90 m respectively, while the length and breadth of a mela ground are 210 m and 126 m, respectively. Are these measurements in proportion?
Bachhu Manjhi earns Rs. 24000 in 8 months. At this rate, in how many months does he earn Rs. 42000?
Determine if the following ratios form a proportion. Also, write the middle terms and extreme terms where the ratios form a proportion.
39 litres : 65 litres and 6 bottles : 10 bottles
