The ratio of the ages of two boys is 3:4. After 3 years, the ratio wil

1.	The ratio of the ages of two boys is 3:4. After 3 years, the ratio will be 4:5. The ratio of their ages after 21 years will be 10:11.How old are they?
Answer» Answer: Step-by-step explanation: Let the AGES of boys be 3x and 4X YEARS respectively. According to the QUESTION, After 3 years 3x + 3 = 4 4x + 3 5 ⇒ 16x + 12 = 15x + 15 ⇒ 16x – 15x = 15 – 12 ⇒ x = 3 ∴ Required ratio after 21 years = 3x + 21 4x + 21 3 × 3 + 21 = 9 + 21 4 × 3 + 21 12 + 21 30 = 10 30/33=10/11

The ratio of the ages of two boys is 3:4. After 3 years, the ratio will be 4:5. The ratio of their ages after 21 years will be 10:11.How old are they?

Answer»

Answer:

Step-by-step explanation:

Let the AGES of boys be 3x and 4X YEARS respectively.

According to the QUESTION,

After 3 years

3x + 3

4x + 3 5

⇒ 16x + 12 = 15x + 15

⇒ 16x – 15x = 15 – 12

⇒ x = 3

∴ Required ratio after 21 years =

3x + 21

4x + 21

3 × 3 + 21

9 + 21

4 × 3 + 21 12 + 21

30/33=10/11

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The ratio of the ages of two boys is 3:4. After 3 years, the ratio will be 4:5. The ratio of their ages after 21 years will be 10:11.How old are they?​

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The ratio of the ages of two boys is 3:4. After 3 years, the ratio will be 4:5. The ratio of their ages after 21 years will be 10:11.How old are they?