Advertisements
Advertisements
प्रश्न
If a : b = 5 : 3, show that (5a + 8b) : (6a – 7b) = 49 : 9.
Advertisements
उत्तर
Given a : b = 5 : 3
⇒ `a/b = (5)/(3)`
∴ `(5a + 8b)/(6a - 7b) = (5(a/b) +8)/(6(a/b)-7)`
Numberator and Denominator is divided by 'b'.
= `(5 xx 5/3 + 8)/(6 xx 5/3 -7)`
= `(49)/(9)`
= 49 : 9.
Hence proved.
संबंधित प्रश्न
The present age of two persons are in the ratio 4: 3. Nine years hence their ages will be in the ratio 23: 18. Find their present ages.
Check whether the following quantities form a proportion or not?
0.8, 3, 2.4 and 9
Find the mean proportional between `1/4 "and" 1/16`
If a bus covers 195 km in 3 hours and a train covers 300 km in 4 hours, then the ratio of their speeds is
The ratio 4 : 16 is in its lowest form.
The two terms of a ratio can be in two different units.
A ratio is a form of comparison by ______.
To find the ratio of two quantities, they must be expressed in _____ units.
Find two numbers whose sum is 100 and whose ratio is 9 : 16.
The compound ratio of x – y : x + y and (x + y)2 : x2 – y2 is ______.
