Advertisements
Advertisements
Question
Two numbers are in the ratio 5 : 7 and the difference of their squares is 600. Find the numbers.
Advertisements
Solution
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
RELATED QUESTIONS
Find the compound ratio of 2 : 3, 9 : 14 and 14 : 27
`square` ABCD is a parallelogram. The ratio of `angle`A and `angle`B of this parallelogram is 5 : 4. Find the measure of `angle`B.
Find the reciprocal ratio of e following :
`17/45 : 51/27`
State true or false :
A ratio equivalent to 7 : 9 is 27 : 21.
Express the given ratio in its simplest form: `1 1/3:2 1/4:2 1/2`
In the example below, find the ratio of the first number to the second.
35, 65
Find the compounded ratio of: 2 : 3 and 4 : 9
If (4x2 + xy) : (3xy – y2) = 12 : 5, find (x + 2y) : (2x + y).
The ratio of the number of male and female workers in a textile mill is 5 : 3. If there are 115 male workers, what is the number of female workers in the mill?
The boys and the girls in a school are in the ratio 9 : 5. If the total strength of the school is 448, find the number of girls.
