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

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

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

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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