Question

The ages of Arun and Bevan are in the ratio 2 : 3 . In 4 years, the ratio of their ages will be 3 : 4 . Find their present ages.

Answer 1

Arun:Bevan
2:3
2x:3x

After 4 years
Arun:Bevan
2x+4:3x+4

2x+4/3x+4=3/4
Answer is -4/3

Answer 2

$\star\:\sf\orange{Given :}$

• Let Arun age be 2x
• And Bevan age be 3x.

$\star\:\sf\orange{In\:4\:years,}$

• Arun age will be 2x + 4
• Behave age be 3x + 4

$\star\:\sf\orange{According\:to\:the\:question, }$

$\sf \implies{\frac{2x + 4}{3x + 4} = \frac{3}{4}} \\ \sf{\implies4(2x + 4) = 3(3x + 4)} \\ \sf{\implies8x + 16 = 9x + 12} \\ \sf{\implies8x- 9x = 12 - 16} \\ \sf{\implies- x = - 4} \\ \sf \therefore \purple\: {x = 4}$

____________________________....

$\star\:\sf \pink{Putting \: the \: value \: of \:" x " : } \\ \sf \purple{Age \: of \: </p><p>Arun \implies2x = 2 \times 4 = 8 \: years} \\ \sf \red{Age \: of \: Behave \implies3x = 3 \times 4 = 12\: years}$