Question

5. To get the ratio p : q (for p is not equal to q),
one has to add a number to each
term of the ratio x: y, the num-
ber is
​

Answer 1

Answer:

The number added was (qx - py)/(p - q).

Step-by-step explanation:

Let the number to be added be 'a'.

Now, according to the Question,

(x + a) : (y + a) = p : q

In ratios, we know that,

Product of extremes = Product of means

So,

q × (x + a) = p × (y + a)

Using Distributive Property,

qx + qa = py + pa

qx - py = pa - qa

qx - py = a(p - q)

∴ a = (qx - py)/(p - q)

Hence,

The number added was (qx - py)/(p - q).

Hope it helped and believing you understood it........All the best