Question

If a:b=5:3 then what is the value of (3a+2b):(3a-2b)?

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Answer 1

Answer:

21:9

Step-by-step explanation:

a= 5

b= 3

3a+2b ➡

(3x5)+(2x3)

15+6= 21

3a-2b ➡

(3x5)-(2x3)

15-6=9

finally answer of given question is 21:9

Answer 2

If a : b = 5 : 3 then (3a + 2b) : (3a - 2b) = 7 : 3

Given :

a : b = 5 : 3

To find :

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

Solution :

Step 1 of 2 :

Assume the value of a and b

Here it is given that a : b = 5 : 3

Let a = 5k , b = 3k

Step 2 of 2 :

Find the value of (3a + 2b) : (3a - 2b)

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

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

$\sf = (15k + 6k) : (15k - 6k)$

$\sf = 21k : 9k$

$\sf = 21 : 9$

$\sf = 7 : 3$

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