Question

The present ages of two children are in the ratio 2:3. Five years ago, the ratio of their ages was 1:2. Find their present ages.​

Answer 1

Step-by-step explanation:

let the children age be x

2x - 5 / 3x - 5 = 1/2

x = 5

the age of first sons is 10. yr

the age of second sons is 15yr

mark me brainlist.

Answer 2

$</u><u>\</u><u>underline</u><u>\</u><u>bold</u><u>\</u><u>color</u><u>{</u><u>red</u><u>}</u><u>{</u><u>†</u><u>GiveN</u><u>†</u><u>}</u><u>$

• Ratio of present ages of two children is 2 : 3
• Five years ago, the ratio of their ages was 1 : 2.

________________________

$</u><u>\</u><u>underline</u><u>\</u><u>bold</u><u>\</u><u>color</u><u>{</u><u>red</u><u>}</u><u>{</u><u>†</u><u>To</u><u> </u><u>\</u><u>:</u><u>FinD</u><u>†</u><u>}</u><u>$

• Their present ages.

_________________________

$</u><u>\</u><u>underline</u><u>\</u><u>bold</u><u>\</u><u>color</u><u>{</u><u>red</u><u>}</u><u>{</u><u>†</u><u>Sol</u><u>u</u><u>ti</u><u>o</u><u>N</u><u>†</u><u>}</u><u>$

Let ,

$\color{black}\bold</p><p>{the \: present \: age \: of \: {1}^{st} \:child \: be\:2x}$

$\color{black}\bold</p><p>{the \: present \:age \: of \: {2}^{nd} \:child \: be \: 3x}$

Then,

$\color{black}\bold</p><p>{the \: age \: of \: {1}^{st}child \: before\: 5\: year}$$\color{black}\bold{= 2x-5}$

$\color{black}\bold</p><p>{the \: age \: of \: {2}^{nd} child \: before\:5 \: year}$$\color{black}\bold{= 3x-5}$

$\color{black}\bold</p><p>{A/q \: \: \frac{2x - 5}{3x - 5} = \frac{1}{2} }$

$\color{black}\bold</p><p>{ \implies \: 4x - 10 = 3x - 5}$

$\color{black}\bold</p><p>{ \implies4x - 3x = - 5 + 10}$

$\color{black}\bold</p><p>{ \implies \: x = 5}$

${ \boxed{∵x = 5}}</p><p>$

$\color{black}\bold</p><p>{By \: putting \: the \: value \: of \: x}$

$\color{black}\bold</p><p>{the \: present \: age \: of \: {1}^{st}\:child } \\ \color{black}\bold</p><p>{ = 2x = (2 \times 5 )= 10 \: years}$

$\color{black}\bold</p><p>{the \: present \: age \: of \: {2}^{nd}\:child } \\ \color{black}\bold</p><p>{ = 3x =( 3 \times 5) = 15 \: years}$