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:

let the common ratio is x

then Simmy s age=6x years

Jimmy s age =8x years

after 5 years Simmy will be( 6x+5) years

and Jimmy will be (8x+5) years

so,

(6x+5)/(8x+5)=4/5

=> 5(6x+5)=4(8x+5)

=> 30x+25=32x+20

=> 30x-32x=20-25

=> -2x= -5

=> 2x=5

=> x=5/2

so,present age of Simmy is 6x year s=6×5/2years=15 years

present age of Jimmy is 8x years

=8×5/2years

=20 years

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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