Mrs. Jain is 27 years older than her daughter nilu.After 8 years she will be twice as old as Nilu.Find their present ages?
Answers
Given : Mrs. Jain is 27 years older than her daughter nilu.After 8 years she will be twice as old as Nilu.
To Find : Their present ages.
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❍Let the present age of Nilu be "x" years.
Therefore,the present age of Nilu's mother = (x + 27) years.
So,after 8 years,
Nilu's age = (x + 8),and Mrs Jain's age = (x + 27 + 8) = (x + 35)years.
Expanding the brackets,We get
Transporing x to RHS and 16 to LHS,We get
So,The present age of Nilu = x = 19 years.And the present age of Nilu's mother that is Mrs Jain = x + 27 = 19 + 27 = 46 years.
Step-by-step explanation:
❒ ǫᴜᴇsᴛɪᴏɴ :
Mrs. Jain is 27 years older than her daughter nilu.After 8 years she will be twice as old as Nilu.Find their present ages?
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❒ ʀᴇǫɪʀᴇᴅ sᴏʟᴜᴛɪᴏɴ :
Daughter Age = x
Neelu's Age = 27 + x
After 8 Years,
Daughter Age = x + 8
Neelu's Age = 27+8+x
= 35 + x
2( x + 8) = 35 + x
2x + 16 = 35 + x
2x - x = 35 - 16
x = 19
Daughter present age = 19 Years
Neelu's Present Age = 27+ x
= 27 + 19
= 46 ʏᴇᴀʀs.
● ᴛʜᴇʀᴇғᴏʀᴇ, ɴᴇᴇʟᴜ's ᴘʀᴇsᴇɴᴛ ᴀɢᴇ ɪs 46 ʏᴇᴀʀs.
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