Question

• (a) Two numbers are in the ratio 7: 11. If 7 is added to each of the numbers, find rat
becomes 1:2. Find the number.
​

Answer 1

Answer:

49 and 77

Step-by-step explanation:

The two number are in ratio 7:11

Let the ratio be x

So, Numbers are 7x and 11 x

Now 7 is added to both the ratio becomes 2:3

So, ATQ

\frac{7x+7}{11x+7}=\frac{2}{3}

11x+7

7x+7

=

3

2

3(7x+7)=2(11x+7)3(7x+7)=2(11x+7)

21x+21=22x+1421x+21=22x+14

7=x7=x

So, Numbers = 7 x = 7 * 7 = 49 , 11x = 11*7 = 77

Hence the numbers are 49 and 77