Question

The ratio between a and b age was 11:4 ,4 years ago, after 4 years the ratio of their ages will be 13:16. What is the present age of a?

Answer 1

Answer:

let their age be 11x and 4x respectively

Step-by-step explanation:

After 4yrs

a age be 11x+4

b age be 4x+4

given

11x+4/4x+4=13/16

so on computing

x=will be in - so que is wrong

Answer 2

The present age of a is 26 years.

Correct option: 2) 26 years

Step-by-step explanation:

Given, 4 years ago, the ratio between a and b age was 11 : 14.

Let the common multiple be x

Then, 4 years ago,

• a was 11x years old
• b was 14x years old

So, the present age of

• a is (11x + 4) years
• b is (14x + 4) years

Then, after 4 years,

• a will be (11x + 4 + 4) years = (11x + 8) years
• b will be (14x + 4 + 4) years = (14x + 8) years

According to the question,

11x + 8 : 14x + 8 = 13 : 16

⇒ (11x + 8) × 16 = (14x + 8) × 13

• since 1st term × 4th term = 2nd term × 3rd term

⇒ 176x + 128 = 182x + 104

⇒ 182x - 176x = 128 - 104

⇒ 12x = 24

⇒ x = 2

Thus a's present age is (11 × 2 + 4) years = 26 years.

NOTE:

Refer to the attached image for the correct question.

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