Question

The ratio of anitha's age to the age of her mother is 4:9 the difference between their age is 25 years the ratio of their ages after 10 years will be ?

Answer 1

Let present age of Anita be 4X years and present age of her mother be 9X years.


Difference of their ages = 25



9X - 4X = 25


5X = 25

X = 5 years.





Present age of Anita = 4X = 20 years.

And,

Present age of mother = 9X = 45 years.


After 10 Years age of mother = Present age + 10 = 45+10 = 55 years.


And,


After 10 Years age of Anita = Present age+ 10 = 20+10 = 30 years.

Ratio of their ages after 10 Years = 30:55 = 6:11

Answer 2

yoυr anѕwer !!

ʀᴀᴛɪᴏ ᴏғ ᴀɢᴇs ᴏғ ᴀɴɪᴛʜᴀ ᴀɴᴅ ʜᴇʀ ᴍᴏᴛʜᴇʀ = 4:9

ʟᴇᴛ ᴛʜᴇ ᴄᴏᴍᴍᴏɴ ʀᴀᴛɪᴏ = x

ᴀɴɪᴛʜᴀ's ᴀɢᴇ = 4x

ʜᴇʀ ᴍᴏᴛʜᴇʀ's ᴀɢᴇ = 9x

ᴅɪғғᴇʀᴇɴᴄᴇ ʙᴇᴛᴡᴇᴇɴ ᴛʜᴇɪʀ ᴀɢᴇs = 25 ʏᴇᴀʀs

sᴏ,

$= > 25 = 9x - 4x \\ \\ = > 25 = 5x \\ \\ = > \frac{25}{5} = x \\ \\ = > 5 = x$

ᴘʀᴇsᴇɴᴛ ᴀɢᴇs:

ᴀɴɪᴛʜᴀ's = 4x = 4 × 5 = 20 ʏᴇᴀʀs

ʜᴇʀ ᴍᴏᴛʜᴇʀ's = 9x = 9 × 5 = 45 ʏᴇᴀʀs

ᴀɢᴇs ᴀғᴛᴇʀ 10 ʏᴇᴀʀs:

ᴀɴɪᴛʜᴀ's = 20 + 10 = 30 ʏᴇᴀʀs

ʜᴇʀ ᴍᴏᴛʜᴇʀ's = 45 + 10 = 55 ʏᴇᴀʀs

ʀᴀᴛɪᴏ ᴏғ ᴛʜᴇɪʀ ᴀɢᴇs ᴀғᴛᴇʀ 10 ʏᴇᴀʀs:

=> 30:55

тнanĸѕ !!