Question

The ages of A and B are in the ratio 8:3. Six year hence their ages will be in the ratio 9:4 the percent ages .​

Answer 1

Answer:

48 & 18 year

Step-by-step explanation:

As the ratio of their ages is 8:3, let their ages are 8a and 3a.

After 6 years:

Age of A = 8a + 6

Age of B = 3a + 6

According to question: that time, ratio is 9:4

=> (8a + 6)/(3a + 6) = 9/4

=> 4(8a + 6) = 9(3a + 6)

=> 32a + 24 = 27a + 54

=> 32a - 27a = 54 - 24

=> 5a = 30

=> a = 6

Therefore, their ages are:

Age of A = 8(6) = 48 year

Age of B = 3(6) = 18 year

Answer 2

Answer:

$\small \blue {Let's \: the \: ages \: of \: A \: and \: B \: be \: a}$

$\small \blue { After \: six \: years : }$

$\small \sf {Agè \: of \: A = 8a + 6}$

$\small \sf {Agè \: of \: B = 3a + 6}$

After six years their age :-

$\small \sf {(8a+6)/(3a+6) = 9/4 }$

$\small \sf {4(8a+6) = 9 (3a + 6)}$

$\small \sf {32a + 24 = 27a + 54}$

$\small \sf {32a - 27 a= 54-24}$

$\small \sf {5a = 30}$

$\small \sf {a = 6}$

Age of A = 8 × 6 = 48

Age of B = 3 × 6 = 18

${:}\longrightarrow$$\huge \fbox {A \: = 48 years}$

${:}\longrightarrow$$\huge \fbox {B \: = 18 years}$