Question

Present ages of vatsala and sara are 14 yrs and 10 yrs respectively. After how many years the ratio of their ages will become 5:4¿¿

Answer 1

Step-by-step explanation:

Ratio should become = 5 : 4 .

Let the years after which this ratio would be possible be x .

So ,

acc. to the question ,

( 14 + x ) / ( 10 + x ) = 5 / 4

=> 4 ( 14 + x ) = 5 ( 10 + x )

=> 56 + 4x = 50 + 5x

=> x = 6 .

So , after 6 years the ratio of their ages will become 5 : 4 .

Answer 2

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ɢɪᴠᴇɴ -

• ᴘʀᴇꜱᴇɴᴛ ᴀɢᴇ ᴏꜰ ᴠᴀᴛꜱᴀʟᴀ = 14 ʏʀꜱ
• ᴘʀᴇꜱᴇɴᴛ ᴀɢᴇ ᴏꜰ ꜱᴀʀᴀ = 10 ʏʀꜱ

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ᴛᴏ ꜰɪɴᴅ -

ᴀꜰᴛᴇʀ ʜᴏᴡ ᴍᴀɴʏ ʏʀꜱ ᴛʜᴇ ʀᴀᴛɪᴏ ᴏꜰ ᴛʜᴇɪʀ ᴀɢᴇꜱ ᴡɪʟʟ ʙᴇᴄᴏᴍᴇ 5:4

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ꜱᴏʟᴜᴛɪᴏɴ -

ʟᴇᴛ ᴀꜰᴛᴇʀ 'x' ʏʀꜱ ᴛʜᴇ ʀᴀᴛɪᴏ ᴏꜰ ᴛʜᴇɪʀ ᴀɢᴇꜱ ᴡɪʟʟ ʙᴇᴄᴏᴍᴇ 5:4

ʙʏ ɢɪᴠᴇɴ ᴄᴏɴᴅɪᴛɪᴏɴ

$↣ \frac{14 + x}{10 + x} = \frac{5}{4}$

$↣56 + 4x = 50 + 5x \\ ↣56 - 50 = 5x - 4x$

$\boxed{\red{↣6 = x}}$

$\therefore$ ᴀꜰᴛᴇʀ ${\boxed{\red{6}}}$ ʏᴇᴀʀꜱ ᴛʜᴇ ʀᴀᴛɪᴏ ᴏꜰ ᴛʜᴇɪʀ ᴀɢᴇꜱ ᴡɪʟʟ ʙᴇᴄᴏᴍᴇ 5:4.

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