Math, asked by bishinalini380, 2 days ago

if a:b=2:3,then find (5a-2b):(a+3b)​

Answers

Answered by pulakmath007
0

If a : b = 2 : 3 , then (5a - 2b) : (a + 3b) = 4 : 11

Given :

a : b = 2 : 3

To find :

The value of (5a - 2b) : (a + 3b)

Solution :

Step 1 of 2 :

Assume the value of a and b

Here it is given that a : b = 2 : 3

Let a = 2k & b = 3k

Where k is constant

Step 2 of 2 :

Find the value

 \sf (5a - 2b) : (a + 3b)

 \sf  = (5  \times 2k - 2 \times 3k) : (2k + 3 \times 3k)

 \sf  = (10k - 6k) : (2k + 9k)

 \sf  = 4k: 11k

 \sf  = 4: 11

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Answered by Anonymous
2

Given:

a:b=2:3

To find:

(5a-2b):(a+3b)​

Solution:

The value of (5a-2b):(a+3b)​ is 4:11.

We can find the ratio by taking the steps given below-

We know that a and b are in the ratio of 2:3,

Let us assume that a=2x and b=3x.

Now, to find the ratio of (5a-2b) and (a+3b), we will substitute the values of a and b.

So, (5a-2b)=(5×2x-2×3x)

=(10x-6x)

=4x

Similarly, (a+3b)​=(2x+3×3x)

=(2x+9x)

=11x

Now, the ratio of (5a-2b) and (a+3b) can be obtained by dividing the values of (5a-2b) and (a+3b).

(5a-2b):(a+3b)=4x:11x

=4:11

Therefore, the value of (5a-2b):(a+3b)​ is 4:11.

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