Question

Present age of Tanish and radhika are in ratio of 4:5after 8 years ratio of their age will be 5:6 what is their age?

Answer 1

Hey friend,

Here is the solution :-

Let Tanish's age be 4k and Radhika's age be 5k

After 8 years, Tanish's age = 4k + 8

Radhika's age = 5k + 8

Now, the ratio of their ages is 5:6

So,

$\frac{4k + 8}{5k + 8} = \frac{5}{6} \\ \\ now \: by \: cross \: multiplication : - \\ \\ 6(4k + 8) = 5(5k + 8) \\ \\ 24k + 48 = 25k + 40 \\ \\ 24k - 25k = 40 - 48 \\ \\ - k = - 8 \\ \\ k = 8$

$here \: we \: get \: k \: = 8 \\ \\ now \: tanish \: = 4k = 4 \times 8 = 32 \: years\\ \\ radhika = 5k = 5 \times 8 = 40 \: years$

So, the present age of Tanish is 32 years and that of Radhika is 40 years.

✨I hope this will help you....✨