Advertisements
Advertisements
प्रश्न
Three numbers are in the ratio `(1)/(2) : (1)/(3) : (1)/(4)` If the sum of their squares is 244, find the numbers.
Advertisements
उत्तर
The ratio of three numbers `(1)/(2) : (1)/(3) : (1)/(4)`
= `(16 : 4 : 3)/(12)`
= 6 : 4 : 3
Let first number 6x, second 4x and third 3x
∴ According to the condition
(6x)² + (4x)² + (3x)² = 244
⇒ 36x² + 16x² + 9x² = 244
⇒ 61x2 = 244
⇒ x 2 = `(244)/(61)`
= 4 = (2)2
∴ x = 2
∴ first number = 6x = 6 x 2 = 12
second number = 4x = 4 x 2 = 8
and third number = 3x = 3 x 2 = 6.
APPEARS IN
संबंधित प्रश्न
If (p – x) : (q – x) be the duplicate ratio of p : q then show that : `1/p + 1/q = 1/x`.
if `x/a = y/b = z/c` prove that `(ax - by)/((a + b)(x - y)) + (by - cz)/((b + c)(y - z)) + (cz - az)/((c + a)(z - x)) = 3`
Find:
The sub-triplicate ratio of the sub-duplicate ratio of 729x18: 64y6.
Find the fourth proportional of `1/3, 2/5` and 8.4.
The ratio of zinc and copper in an alloy is 7 : 9. If the weight of copper in the alloy is 11.7 kg find the weight of zinc in it.
If a bus covers 195 km in 3 hours and a train covers 300 km in 4 hours, then the ratio of their speeds is
A ratio can be equal to 1.
See the figure and find the ratio of number of squares to all the figures inside the rectangle.
Find the ratio of the following:
500 mL to 2 litres
Out of 1800 students in a school, 750 opted basketball, 800 opted cricket and remaining opted table tennis. If a student can opt only one game, find the ratio of number of students who opted basketball to the total number of students.
