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Answer:
What is this Mr panav??
First tell please
A᭄ɴsᴡᴇʀ࿐ :−
★ɢɪᴠᴇɴ :
❈The combined age of husband and wife are three times the combined ages of their children. Three years ago the ratio of their ages was 4 : 1, while 5 years after the ratio will be 20:9.
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★ᴛᴏ ғɪɴᴅ :
How many children have they?
★Sᴏʟᴜᴛɪᴏɴ:
⇨Let say number of children = n
⇨Combined Age of n Children = A
Combined ᴀɢᴇ of ʜusband and ᴡiғe = 3A
◈Tʜʀᴇᴇ years ago combined age of ʜusband and ᴡife
☛ = 3A - 2 * 3 = 3A - 6
◈Tʜʀᴇᴇ years ago combined age Combined Age of n Children
☛ = A - n * 3 = A - 3n
⇢ᴛʜʀᴇᴇ ʏᴇᴀʀs ᴀɢᴏ ᴛʜᴇ ʀᴀᴛɪᴏ ᴏғ ᴛʜᴇɪʀ ᴀɢᴇs ɪs ᴡᴀs 4:1
⇛ 3A - 6 = 4(A - 3n)
⇛ 3A - 6 = 4A - 12n
⇛A = 12n - 6
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◈5 ʏears After combined age of husband and wife
✑ = 3A+ 2 * 5 = 3A+10
◈5 ʏears After combined age Combined Age of n Children
✑ = A+ n * 5 = A +5n
⇢5 ʏᴇᴀʀs ᴀғᴛᴇʀ ᴛʜᴇ ʀᴀᴛɪᴏ ᴡɪʟʟ ʙᴇ 20:9
⇝9(3ᴀ + 10) = 20(A + 5n)
⇝ 27ᴀ +90 = 20ᴀ+100n
⇝ 7ᴀ = 100n-90
⇛12n - 6
⇝ 7 (12n - 6) = 100n-90
⇝ 84n - 42 = 100n-90
⇝ 16n =48
»n = 3
ɴᴜᴍʙᴇʀ ᴏғ ᴄʜɪʟᴅʀᴇɴ = 3
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