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 Chameli had Rs 600 left after spending 75% of her money, how much did she have in the beginning?
If (a – b) : (a + b) = 1 : 11, find the ratio (5a + 4b + 15) : (5a – 4b + 3).
Make set of all possible proportions from the numbers 15, 18, 35 and 42.
Find the third proportional to 5.25, 7
The ratio of the length and the width of a rectangular sheet of paper is 8 : 5. If the width of the sheet is 17.5 cm; find the length.
The ages of A and B are in the ratio 6 : 5. If A’s age is 18 years, find the age of B.
Find the ratio of the first quantity to the second.
25 beads, 40 beads
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.
Find the compound ratio of:
(a + b)2 : (a – b )2 ,
(a2 – b2) : (a2 + b2),
(a4 – b4) : (a + b)4
In a box, the ratio of red marbles to blue marbles is 7 : 4. Which of the following could be the total number of marbles in the box?
