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
Convert the following percentage to fractions and ratio:
0.3%
If a + b : a - b = 11 : 8 ; find the vaIue of a : b
Find the duplicate ratio of the following :
(a+b): (a2- b2)
If (3x - 9) : (5x + 4) is the triplicate ratio of 3 : 4, find the value of x.
Express the following ratios in its simplest form :
48: 54
Divide 64 cm long string into two parts in the ratio 5 : 3.
Which ratio is greater:
`8/15` or `5/9`
Find the fourth term of the proportion whose first, second, and third terms are 18, 27, and 32 respectively.
The ratio of 10 kg to 100 kg is 1 : 10
A rectangular sheet of paper is of length 1.2 m and width 21 cm. Find the ratio of width of the paper to its length.
