Question

kartik is younger than som by 12 years. If 6 years ago, ratio of their ages was 3:5, find the ratio of their ages after 6 years from now.

Answer 1

answer 5:7

Step-by-step explanation:

Let Som's age be x,

Kartik's be x-12

6 years ago,

Som's age x-6

Kartik's age x-12-6

ATP,

x-18/x-6=3/5

5x-90=3x-18

2x=72

x=36

6years from now,

Som's age will be 36+6=42

Kartik's age will be 42-12=30.

Ratio of their ages,

30:42

5:7

Answer 2

Answer:

Kartik is younger than som by 12 years. If 6 years ago, ratio of their ages was 3:5, find the ratio of their ages after 6 years from now.

Step-by-step explanation:

• We are given that- there are two boys- Kartik and Som.
• Kartik is younger than Som by 12 years. Six years ago the ration of there ages was $3: 5$.
• And we have to find- the ratio of there ages after 6 years from now.
• Let the age of Som be $x$.

Therefore, the age of Kartik will be $x-12$,

six years ago,

The age of Som was-$x-6$ and

The age of Kartik is $x-12-6$

At present,

$\frac{x-18}{x-6}= \frac{3}{5}$

By solving this equations-$5 \times (x-18)= 3 \times(x-6)\\5x-90= 3x-18\\2x=72\\x=\frac{72}{2}\\ x= 36$

6 years from now,

Som's age will be $36+6= 42$

Kartik's age will be $42-12= 30$

So the ratio of there ages will be $30:42$

That is, $5:7$

Hence, the ratio of ages of kartik and som after 6 years from now is $5:7$.

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