Advertisements
Advertisements
प्रश्न
If `(28 - x)` is the mean proportional of `(23 - x)`and `(19 - x)` then find the value of x.
उत्तर
It is given that (28 − x) is the mean proportional of (23 − x) and (19 − x).
`therefore (23 − x)/(28- x) = (28 - x)/(19 - x)`
`therefore ( 28 - x )^2 = ( 23 - x) xx ( 19 - x )`
⇒ `(28)^2-2xx28x+x^2=437-23x-19x+x^2`
⇒ `784 - 56x + x^2 = 437 - 42x + x^2`
⇒ `784-437=-42x+x^2+56x-x^2`
⇒ `347 = 14x`
⇒ `x = 347/14`
Thus, the value of x is `347/14`.
APPEARS IN
संबंधित प्रश्न
Find the fourth proportional to 2xy, x2 and y2.
What number must be added to each of the numbers 6, 15, 20 and 43 to make them proportional?
Find the third proportional to:
x - y, x2 - y2
Find the third proportional to Rs. 3, Rs. 12
If x + 5 is the mean proportion between x + 2 and x + 9, find the value of x.
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.
In a fort, 550 men had provisions for 28 days. How many days will it last for 700 men?
Are 30, 40, 45, and 60 in proportion?
Write True (T) or False (F) against the following statement:
16 : 24 : : 20 : 30
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
