Question

The ages of Simmy and Jimmy are in the ratio 6:8. Five years from now the ratio of their
ages will be 4:5. Find their present ages.​

Answer 1

Answer:

Present age of Simmy = 15 yearsand Present age of Jimmy = 20 years

Step-by-step explanation:

Let the present age of Simmy be 6x years

and the present age of Jimmy be 8x years.

$\begin{gathered}So, \frac{6x + 5}{8x + 5} = \frac{4}{5} \\ = > 32x + 20 = 30x + 25 \\ = > 2x = 5 \\ = > x = \frac{5}{2} years\end{gathered}$

So, Present age of Simmy = 15 years

and Present age of Jimmy = 20 years

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Answer 2

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

$\bf\pink{\underline{\underline{Given:}}}$

• ages of Simmy and Jimmy are in the ratio 6:8 i.e. 3:4 .
• Five years from now the ratio of their ages will be 4:5

$\\\bf\pink{\underline{\underline{Solution:}}}$

Let their present ages be 3x and 4x .

Five years from now ,

their present ages be 3x+5 and 4x+5 .

$\bf{A.T.Q. ,}$

$\frac{3x+5}{4x+5} = \frac{4}{5}$

=> $5(3x+5) = 4(4x+5)$

=> $15x+25 = 16x+20$

=> $16x-15x=25-20$

=> $x=5$

Their present age is :

3x = 3×5 => 15 years

4x = 4×5 => 20 years

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