Advertisements
Advertisements
प्रश्न
Two numbers are in the ratio 5 : 7 and the difference of their squares is 600. Find the numbers.
Advertisements
उत्तर
Let the two numbers be 5x and 7x, since the ratio between them is 5:7
Now,
(7x)2 - (5x)2 = 600
⇒ 49x2 - 25x2 - 600
⇒ 24x2 - 600
⇒ x2 = 25
⇒ x = 5
∴ 5x = 25
7x = 35
Therefore, the two numbers are 25 and 35.
APPEARS IN
संबंधित प्रश्न
If 60% people in city like cricket, 30% like football, and the remaining like other games, then what percentage of the people like other games? If the total number of people is 50 lakh, find the exact number who like each type of game.
Find the ratio of the following in the simplest fcrm:
a4 + b4 and a3 - b3
Find the ratio of the following in the simplest fcrm:
x2 + 4x +4 and x2 - x - 6
If a : b = 4 : 7, find the following:
`(6"a" - "b")/("a" + 3"b")`
Find the sub-triplicate ratio of the following :
125a3 : 343b6
Check whether the following quantities form a proportion or not?
`2 1/2, 5 1/2, 3.0 "and" 6.0`
Find the second term of the proportion whose first, third, and fourth terms are 9, 8, and 24 respectively.
The ratio of the length and the width of a school ground is 5 : 2. Find the length, if the width is 40 metres.
The ages of A and B are in the ratio 6 : 5. If A’s age is 18 years, find the age of B.
If (7p + 3q) : (3p – 2q) = 43 : 2 find p : q.
