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
A woman reduces her weight in the ratio 7 : 5. What does her weight become if originally it was 84 kg?
Find the ratio of the following in the simplest fcrm:
5.60 and 2.40
If m : n = 3 : 8, find the value of (3m+2n) : (5m+n)
If a,b,c are in continued proportion,
show that: `("a"^2 + "b"^2)/("b"("a" + "c")` = `("b"("a" + "c"))/("b"^2 + "c"^2)`
The weekly expenses of a boy have increased from ₹ 1,500 to ₹ 2,250. Find the ratio of:
(i) increase in expenses to original expenses.
(ii) original expenses to increased expenses.
(iii) increased expenses to increase in expenses.
If the cost of 30 packets of 8 pencils each is Rs 600, what is the cost of 25 packets of 12 pencils each?
If `x/a = y/b = z/c`, prove that `(3x^3 - 5y^3 + 4z^3)/(3a^3 - 5b^3 + 4c^3) = ((3x - 5y + 4z)/(3a - 5b + 4c))^3`.
Present age of father is 42 years and that of his son is 14 years. Find the ratio of Present age of father to the present age of son.
Find the simplified form of the following ratio.
7 : 15
Given below is a Mathematical term.
Find the ratio of consonants to vowels in the term.
