Home
Class 10
MATHS
If a : b = 3 : 4 " and " x : y = 4 : 5,...

If ` a : b = 3 : 4 " and " x : y = 4 : 5`, then find the value of `(3ax - by)/(5by-7ax)`

Text Solution

Verified by Experts

Given that , ` a : b = 3 : 4, :. a/b = 3/4`
Again, ` x : y = 4 : 5 " or, " x/y = 4/5`
Now, Given quantity ` = (3ax-by)/(5by - 7ax) = ((3ax)/(by) - 1)/(5-(7ax)/(by)) ` [Dividing by ]
` = (3. 1/b*x/y-1)/(5 - 7 . a/b * x/y)`
` = (3xx 3/4 xx 4/5 -1)/(5 - 7 xx 3/4 xx 4/5)`
` = (9/5 -1)/(5-21/5) = ((9-5)/5)/((25-21)/5) = (4/5)/(4/5) = 1`
Hence the required value = 1.
Promotional Banner

Topper's Solved these Questions

  • RATIO AND PROPORTION

    CALCUTTA BOOK HOUSE|Exercise EXAMPLES (Very Short-Answer Type Questions) MCQs|5 Videos

  • RATIO AND PROPORTION

    CALCUTTA BOOK HOUSE|Exercise EXAMPLES (True or False)|2 Videos

  • RATIO AND PROPORTION

    CALCUTTA BOOK HOUSE|Exercise EXAMPLES (Short-answer type questions)|19 Videos

  • QUADRATIC SURDS

    CALCUTTA BOOK HOUSE|Exercise Exercise -3.2|28 Videos

  • RECTANGULAR PARALLELOPIPED OR CUBOID

    CALCUTTA BOOK HOUSE|Exercise EXERCISE-(MCQs)|40 Videos

Similar Questions

Explore conceptually related problems

If a : b = 3 : 4 " and " x : y = 5 : 7 , then find the value of (3ax - by) : (4by - 7ax) .

If a : b = 4 : 5 " and " x : y = 5 : 7 then find the value of (5ax - 3by) : (by + 2ax) .

If f(x) = ax + b and f(0) = 3, f(2) = 5, then find the value of a and b.

If x:y = 5:6 then the value of (3x + 4y)/(4x + 3y) will be

Answer any One question : If (3x - 2y) : (x + 3y) = 5 : 6, then find the value of (2x + 5y) : (3x + 4y).

(a) If x : y = 3 : 4 , then find the value of the ratio (2x + y) : ( 9x - 2y) . (b) If x : y = 5 : 4 , then find the value of the ratio (x^(2) + xy) : (x^(2) - xy) .

x.and y are- real and if x + iy.= 5/(-3+4i) ,find the value of x and y.

If (2x)/3=(4y)/5=(7z)/9 then find the value of (4x+12y-21z)/(3y) .

If the straight lines 2x - 3y + 5= 0 and ax + 2y. = 6 are parallel, then the value of a is

If the point (3, 4) lies on the equation 3y = ax + 7, find the value of a.