Advertisements
Advertisements
प्रश्न
What number must be added to each of the numbers 15, 17, 34 and 38 to make them proportional?
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
Given four quantities a, b, c and d are in proportion. Show that: (a – c)b2 : (b – d)cd = (a2 – b2 – ab) : (c2 – d2 – cd)
Using properties of proportion, solve for x:
`(3x + sqrt(9x^2 - 5))/(3x - sqrt(9x^2 - 5)) = 5`
Find the fourth proportion to the following :
(x2 - y2),(x3 + y3)anc(x3 - xy2 + x2y- y3)
Find the fourth proportional to `(1)/(3), (1)/(4), (1)/(5)`
Determine if the following ratio form a proportion:
39 litres : 65 litres and 6 bottles : 10 bottles
If the cost of a dozen soaps is Rs 285.60, what will be the cost of 15 such soaps?
If a, b, c, d are in proportion, then
If a, b, c and d are in proportion, prove that: `(a^2 + ab)/(c^2 + cd) = (b^2 - 2ab)/(d^2 - 2cd)`
If x, y, z are in continued proportion, prove that: `(x + y)^2/(y + z)^2 = x/z`.
If x + y + z = 0, the value of `x/(y + z)` is ______.
