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
Find the fourth proportional to 1.5, 4.5 and 3.5
If x + 5 is the mean proportional between x + 2 and x + 9; find the value of x.
If a, b, c and d are in proportion prove that `sqrt((4a^2 + 9b^2)/(4c^2 + 9d^2)) = ((xa^3 - 4yb^3)/(xc^3 - 5yd^3))^(1/3)`
If a : b = c : d, show that (a - c) b2 : (b - d) cd = (a2 - b2 - ab) : (c2 - d2 - cd).
Show that the following numbers are in continued proportion:
16, 84, 441
Two numbers are in the ratio 5 : 7 and the sum of these numbers is 252. The larger of these numbers is
If `a/c = c/d = c/f` prove that : `bd f[(a + b)/b + (c + d)/d + (c + f)/f]^3` = 27(a + b)(c + d)(e + f)
If a, b, c and d are in proportion, prove that: `(a^2 + ab)/(c^2 + cd) = (b^2 - 2ab)/(d^2 - 2cd)`
Fill the boxes using any set of suitable numbers 6 : `square` : : `square` : 15
Write True (T) or False (F) against the following statement:
0.9 : 0.36 : : 10 : 4
