Advertisements
Advertisements
प्रश्न
Two natural numbers are in the ratio 3 : 4. Find the numbers if the difference between their squares is 175.
Advertisements
उत्तर
Ratio in two natural numbers = 3 : 4
Let the numbers be 3x and 4x
According to the condition,
(4x)2 - (3x)2 = 175
⇒ 16x2 - 9x2 = 175
⇒ 7x2 = 175
⇒ x2 = `(175)/(7)` = 25 = (±5)2
∴ x = 5, -5
But x - 5 is not a natural number
∴ x = 5
∴ Natural numbers are 3x, 4x
= 3 x 5, 4 x 5
= 15, 20.
APPEARS IN
संबंधित प्रश्न
Find two numbers whose sum is 27 and product is 182.
Solve the following quadratic equations by factorization:
`(x-1)/(x-2)+(x-3)/(x-4)=3 1/3`, x ≠ 2, 4
Factorise : m2 + 5m + 6.
The value of c for which the equation ax2 + 2bx + c = 0 has equal roots is
A quadratic equation whose one root is 2 and the sum of whose roots is zero, is ______.
Solve the following quadratic equation using formula method only
6x2 + 7x - 10 = 0
Let ∆ ABC ∽ ∆ DEF and their areas be respectively, 64 cm2 and 121 cm2. If EF = 15⋅4 cm, find BC.
In each of the following, determine whether the given values are solution of the given equation or not:
`x^2 - sqrt(2) - 4 = 0; x = -sqrt(2), x = -2sqrt(2)`
Solve the following equation by factorization
6p2+ 11p – 10 = 0
Solve the following equation by factorization
`(1)/(x - 3) - (1)/(x + 5) = (1)/(6)`
