If a:b=2:3 then (5a-2b): (5a+2b) is equal to:Options1 : 42 : 73 : 71 : 3

Sure, let's solve this step by step.

Given that a:b = 2:3. This means that a = 2k and b = 3k for some constant k.

We need to find the ratio (5a - 2b) : (5a + 2b).

Substitute a = 2k and b = 3k into the equation.

So, (5a - 2b) : (5a + 2b) becomes (52k - 23k) : (52k + 23k).

This simplifies to (10k - 6k) : (10k + 6k), which is 4k : 16k.

Finally, simplifying the ratio by dividing both sides by 4k, we get 1 : 4.

So, the ratio (5a - 2b) : (5a + 2b) is 1 : 4. But this option is not given in your question. Please check the question again.