Advertisements
Advertisements
प्रश्न
What number must be added to each of the numbers 15, 17, 34 and 38 to make them proportional?
Advertisements
उत्तर
Let x be added to each number, then numbers will be
15 + x, 17 + x, 34 + x, and 38 + x.
Now according to the condition
`(15 + x)/(17 + x) = (34 + x)/(38 + x)`
⇒ (15 – x)(38 + x) = (34 + x)(17 + x)
⇒ 570 + 53x + x2 = 578 + 51x + x2
⇒ x2 + 53x – x2 – 51x = 578 - 570
⇒ 2x = 8
⇒ x = 4
∴ 4 is to be added.
APPEARS IN
संबंधित प्रश्न
Using properties of proportion, solve for x:
`(3x + sqrt(9x^2 - 5))/(3x - sqrt(9x^2 - 5)) = 5`
Find the fourth proportional to 2xy, x2 and y2.
If `(4m + 3n)/(4m - 3n) = 7/4`, use properties of proportion to find `(2m^2 - 11n^2)/(2m^2 + 11n^2)`
Check whether the following numbers are in continued proportion.
2, 4, 8
If q is the mean proportional between p and r, prove that
`p^2 - q^2 + r^2 = q^4[(1)/p^2 - (1)/q^2 + (1)/r^2]`.
Two numbers are in the ratio 5 : 7 and the sum of these numbers is 252. The larger of these numbers is
If the ratios formed using the numbers 2, 5, x, 20 in the same order are in proportion, then ‘x’ is
If b : a = c : d, then a, b, c, d are in proportion.
Are the following statements true?
40 persons : 200 persons = ₹ 15 : ₹ 75
In the proportional statement p : q :: r : s, which pair of terms represents the means, and which pair represents the extremes?
