Advertisements
Advertisements
प्रश्न
Two positive numbers are in the ratio 3: 4 and the sum of their squares is 1225. Find the numbers.
उत्तर
Let the two numbers be ::lx and 4x, since the ratio between them is 3:4
Now,
(3x)2 + (4x)2 = 1225
⇒ 9x2 + 16x2 = 1225
⇒ 25x2 = 1225
⇒ x2 = 49
⇒ x = 7
∴ 3x = 21
4x = 28
Therefore, the two numbers are 21 and 28.
APPEARS IN
संबंधित प्रश्न
If 5x + 6y : 8x + 5y = 8 : 9, find x : y.
Find the value of x, if: (3x – 7) : (4x + 3) is the sub-triplicate ratio of 8 : 27.
A woman reduces her weight in the ratio 7 : 5. What does her weight become if originally it was 84 kg?
If a + b : a - b = 11 : 8 ; find the vaIue of a : b
Find the reciprocal ratio of e following :
a3b2 : a2b3
If `"x"/("b + c - a") =" y" /("c + a - b") = "z"/("a + b - c")` , then prove that each ratio is equal to the ratio of `("x + y+z")/("a + b + c")`
Express the given ratio in its simplest form: 1.5 : 2.5
Check whether the following quantities form a proportion or not?
3x, 7x, 24 and 56
Which of the following numbers are in continued proportion:
12, 18 and 27
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.
