Advertisements
Advertisements
प्रश्न
What least number must be added to each of the numbers 5, 11, 19 and 37, so that they are in proportion?
Advertisements
उत्तर
Let x be the number added to 5, 11, 19, 37.
`(5 + x)/(11 + x) = (19 + x)/(37 + x)`
App. comp. and divi.
`(5 + x + 11 + x)/(5 + x - 11 - x) = (19 + x + 37 + x )/(19 + x - 37 - x)`
`(16 + 2x)/(-6) = (56 + 2x)/(-18)`
3(16 + 2x) = 56 + 2x
6x - 2x = 56 - 48
4x = 8
x = 2.
APPEARS IN
संबंधित प्रश्न
If q is the mean proportional between p and r, show that: pqr(p + q + r)3 = (pq + qr + rp)3.
If p : q = r : s; then show that: mp + nq : q = mr + ns : s.
If y is the mean proportional between x and y; show that y(x+z) is the mean p roporti ona I between x2+ y2 and y2+ z2
If a, b, c are in continued proportion and a(b – c) = 2b, prove that: `a - c = (2(a + b))/a`.
Find the fourth proportional to `(1)/(3), (1)/(4), (1)/(5)`
An electric pole casts a shadow of length 20 m at a time when a tree 6 m high casts a shadow of length 8 m. Find the height of the pole.
The length and breadth of a rectangular field are in the ratio 5 : 4. If the width of the field is 36 m, what is its length?
If `a/c = c/d = c/f` prove that : `(a^2)/(b^2) + (c^2)/(d^2) + (e^2)/(f^2) = "ac"/"bd" + "ce"/"df" + "ae"/"df"`
If a, b, c, d are in continued proportion, prove that: (a + d)(b + c) – (a + c)(b + d) = (b – c)2
If 7 : 5 is in proportion to x : 25, then ‘x’ is
