Question

Ages of Vatsala and Sara are 14 years and 10 years respectively After how many
the ratio of their ages will becomes 5:4?​

Answer 1

$\: \huge\bf\underline \red{\underline{Answer}}$

=>Present age of Vatsala =14 years

=>Present age of Sara =10 years

Let after x years, ratio of their ages will become 5:4

Age of Vatsala after x years =14+x years

Age of Sara after x years =10+x years

Now,

$\frac{14 + x}{10 + x} = \frac{5}{4}$

Cross multiply:

$4(14+x)=5(10+x)$

$= > 56+4x=50+5x$

$= > 56−50=5x−4x$

$= > x = 6$

Therefore, after 6 years, ratio of their ages will become 5:4

Answer 2

Answer:

=>Present age of Vatsala =14 years

=>Present age of Sara =10 years

Let after x years, ratio of their ages will become 5:4

Age of Vatsala after x years =14+x years

Age of Sara after x years =10+x years

Now,

\frac{14 + x}{10 + x} = \frac{5}{4}

10+x

14+x

=

4

5

Cross multiply:

4(14+x)=5(10+x)4(14+x)=5(10+x)

= > 56+4x=50+5x=>56+4x=50+5x

= > 56−50=5x−4x=>56−50=5x−4x

= > x = 6=>x=6

Therefore, after 6 years, ratio of their ages will become 5:4

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