Question

a+b:a-b=3:2 fine a and b​

Answer 1

Step-by-step explanation:

2a+2b=3a-3b

3a-2b-3b-2b=0

a-5b=0

(a,b)=(5,1),(10,2).......

Answer 2

Answer:

a = $\frac{5x}{2}$ &  b = $\frac{x}{2}$

Step-by-step explanation:

Let a+b = 3x                                    -----------------(1)

Then, a-b = 2x                                -----------------(2)

On adding (1) & (2), 2a = 5x ⇒ a = $\frac{5x}{2}$

On putting the value of a in equation (1), b = $\frac{x}{2}$

So, a = $\frac{5x}{2}$ &  b = $\frac{x}{2}$

⇒ a = 5b

So, (a,b) = (5,1), (10,2), (15,3), (20,4), (25,5), .......... ∞

Hope this helps.....