Question

Solve question no 16 step by step...
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Answer 1

Step-by-step explanation:

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Answer 2

Answer:

• A's age = 15 years.
• B's age = 9 years.

Step-by-step explanation:

Given that,

Age of A and B is in the ratio 5 : 3 respectively.

After 6 years duration the ratio turns to 7 : 5

If we assume the age of :

→ A = 5x years.

→ B = 3x years.

So, After 6 years their age will be :

→ (5x + 6) years.

→ (3x + 6) years.

But,

After 6 years their ratio of age is 7 : 5

Therefore we can say that,

→ (5x + 6)/(3x + 6) = 7/5

→ 5(5x + 6) = 7(3x + 6)

→ 25x + 30 = 21x + 42

→ 25x - 21x = 42 - 30

→ 4x = 12

→ x = 3 years.

We got the value of x as 3 years.

Therefore,

➙ A's age = 5x = 5(3) = 15 years.

➙ B's age = 3x = 3(3) = 9 years.

✦ Verification :

As it told after 6 years their age ratio will be 7 : 5

Again,

After 6 years their age :

→ A's age = 15 + 6 = 21 years.

→ B's age = 9 + 6 = 15 years.

Forming in ratio :

→ 21 : 15

→ 21/15 [Dividing by 3]

→ 7 : 5

Hence, we got the same ratio after 6 years.

Hence, verified ☑