if a:b=2:3,then find (5a-2b):(a+3b)
Answers
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
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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.