Advertisements
Advertisements
प्रश्न
What number must be added to each of the numbers 6, 15, 20 and 43 to make them proportional?
उत्तर
Let no. be 'x'
∴ `(6 + x)/(15 + x) = (20 + x)/(43 + x)`
⇒ (6 + x) (43 + x) = (20 + x) (15 + x)
⇒ 258 + 49x + x2 = 300 + 35x + x2
⇒ 14x = 42
x = 3
∴ The required no. is 3.
APPEARS IN
संबंधित प्रश्न
Find the fourth proportional to 2xy, x2 and y2.
If a, b and c are in continued proportion, prove that: a: c = (a2 + b2) : (b2 + c2)
If `1/12` , x and `1/75` are in continued proportion , find x.
Find the value of x in each of the following proportions:
55 : 11 : : x : 6
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 `x/a = y/b = z/c`, prove that `"ax - by"/((a + b)(x- y)) + "by - cz"/((b + c)(y - z)) + "cz - ax"/((c + a)(z - x)` = 3
If ax = by = cz; prove that `x^2/"yz" + y^2/"zx" + z^2/"xy" = "bc"/a^2 + "ca"/b^2 + "ab"/c^2`
Choose the correct answer from the given options :
The fourth proportional to 3, 4, 5 is
Are the following statements true?
7.5 litres : 15 litres = 5 kg : 10 kg
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