The given ratio is a:b = 2:3.

Let's substitute a = 2k and b = 3k into the expression (5a - 2b) : (5a + 2b), where k is a constant.

This gives us (5*2k - 2*3k) : (5*2k + 2*3k) = (10k - 6k) : (10k + 6k) = 4k : 16k.

Simplifying this ratio by dividing both terms by 4k gives us 1 : 4.

So, if a:b = 2:3, then (5a - 2b) : (5a + 2b) = 1:4.

Question

The given ratio is a:b = 2:3.

Let's substitute a = 2k and b = 3k into the expression (5a - 2b) : (5a + 2b), where k is a constant.

This gives us (5*2k - 2*3k) : (5*2k + 2*3k) = (10k - 6k) : (10k + 6k) = 4k : 16k.

Simplifying this ratio by dividing both terms by 4k gives us 1 : 4.

So, if a:b = 2:3, then (5a - 2b) : (5a + 2b) = 1:4.

Knowee AI · Accepted Answer

The given ratio is a:b = 2:3.

Let's substitute a = 2k and b = 3k into the expression (5a - 2b) : (5a + 2b), where k is a constant.

This gives us (5*2k - 2*3k) : (5*2k + 2*3k) = (10k - 6k) : (10k + 6k) = 4k : 16k.

Simplifying this ratio by dividing both terms by 4k gives us 1 : 4.

So, if a:b = 2:3, then (5a - 2b) : (5a + 2b) = 1:4.

Select the correct answerIf a:b=2:3 then (5a-2b): (5a+2b) is equal to: