Question

The average age of a woman and her daughter is 42 years. The ratio of their ages is 2:1. What is the daughter's age?

Answer 1

Let present age of woman and her daughter be 2X and X years respectively.



Given that : 2X + X / 2 = 42


=> 3X = 84


=> X = 28 years.


Present age of woman = 2X = 56 years.


And,


Present age of daughter = X = 28 years.

Answer 2

yoυr anѕwer !!

ʀᴀᴛɪᴏ ᴏғ ᴀɢᴇs ᴏғ ᴀ ᴡᴏᴍᴀɴ ᴀɴᴅ ʜᴇʀ ᴅᴀᴜɢʜᴛᴇʀ = 2:1

ᴀᴠᴇʀᴀɢᴇ ᴀɢᴇ = 42 ʏᴇᴀʀs

ʟᴇᴛ ᴛʜᴇ ᴄᴏᴍᴍᴏɴ ʀᴀᴛɪᴏ = x

ᴀɢᴇ ᴏғ ᴡᴏᴍᴀɴ = 2x

ᴀɢᴇ ᴏғ ʜᴇʀ ᴅᴀᴜɢʜᴛᴇʀ = x

sᴏ,

$= > 42 = \frac{2x + x}{2} \\ \\ = > \frac{42}{1} = \frac{3x}{2} \\ \\ cross \: multiplication \\ \\ = > 42 \times 2 = 3x \\ \\ = > 84 = 3x \\ \\ = > \frac{84}{3} = x \\ \\ = > 28 = x$

ʜᴇɴᴄᴇ, ᴅᴀᴜɢʜᴛᴇʀ's ᴀɢᴇ = x = 28 ʏᴇᴀʀs

ᴡᴏᴍᴀɴ's ᴀɢᴇ = 2x = 2 × 28 = 56 ʏᴇᴀʀs

тнanĸѕ !!