Question

Two numbers are in the ratio 7:11. If 7 added to each term of the numbers, the ratio becomes 2:3. Find the numbers?

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

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

So, Numbers = 7 x = 7 * 7 = 49 , 11x = 11*7 = 77
Hence the numbers are 49 and 77


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Answer 2

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

$\frac{7x + 7}{11x + 7}$

= ⅔

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

=> 21x+21= 22x+14

=> x= 7

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

Hence the numbers are 49 and 77