Advertisements
Advertisements
प्रश्न
If a : b = 3 : 11, find (15a – 3b) : (9a + 5b). a
Advertisements
उत्तर
a : b = 3 : 11 or `a/b = (3)/(11)`
Now `(15a - 3b)/(9a + 5b)`
= `((15a)/b - (3b)/(11))/((9a)/b + (5b)/b` ...(Dividing by b)
= `((15a)/b - 3)/(9a/b + 5)`
= `(15 xx (3)/(110 - 3))/(9 xx (3)/(11) + 5)` ...(Substituting the value of `a/b)`
= `(45/11 - 3)/(27/11 + 5)`
= `((45 - 33)/(11))/((27 + 55)/(11)`
= `((12)/(11))/((82)/(11)`
= `(12)/(11) xx (11)/(82)`
= `(12)/(82)`
= `(6)/(41)`
∴ (15a – 3b) : (9a + 5b) = 6 : 41.
APPEARS IN
संबंधित प्रश्न
Find the compound ratio of 2 : 3, 9 : 14 and 14 : 27
Find the compounded ratio of the following:
3 : 5, 7 : 9 and 15 : 28
₹120 is to be divided between Hari and Gopi in the ratio 5 : 3. How much does each get?
Find the ratio of the first quantity to the second.
40 rupees, 120 rupees
10 boys can dig a pitch in 12 hours. How long will 8 boys take to do it?
Choose the correct answer from the given options :
Two numbers are in the ratio 7 : 9. If the sum of the numbers is 288, then the smaller number is
Present age of father is 42 years and that of his son is 14 years. Find the ratio of age of father after 10 years to the age of son after 10 years.
The ratio of the number of sides of a triangle to the number of sides of a rectangle is
Samira sells newspapers at Janpath crossing daily. On a particular day, she had 312 newspapers out of which 216 are in English and remaining in Hindi. Find the ratio of the number of Hindi newspapers to the total number of newspapers.
Consider the statement: Ratio of breadth and length of a hall is 2 : 5. Complete the following table that shows some possible breadths and lengths of the hall.
|
Breadth of the hall (in metres) |
10 |
`square` |
40 |
|
Length of the hall (in metres) |
25 |
50 |
`square` |
