Question

Current ages of a, b are 3:5. Four years later b is the present age, a is the current age at which a is 2 years ago, the sum of the ages of a and b is (in years)​

Answer 1

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✒ ʟᴇᴛ ᴘʀᴇsᴇɴᴛ ᴀɢᴇ ᴏғ ᴀ ʙᴇ x ʏᴇᴀʀs ᴀɴᴅ ᴘʀᴇsᴇɴᴛ ᴀɢᴇ ᴏғ ʙ ʙᴇ ʏ ʏᴇᴀʀs

ᴛʜᴇ ʀᴀᴛɪᴏ ʙᴇᴛᴡᴇᴇɴ ᴛʜᴇ ᴘʀᴇsᴇɴᴛ ᴀɢᴇs ᴏғ ᴀ ᴀɴᴅ ʙ ɪs 3:5 ʀᴇsᴘᴇᴄᴛɪᴠᴇʟʏ

x/ʏ = 3/5

5x = 3ʏ

ʏ = 5x/3.....(1)

ɪғ ᴛʜᴇ ᴅɪғғᴇʀᴇɴᴄᴇ ʙᴇᴛᴡᴇᴇɴ ʙ ᴘʀᴇsᴇɴᴛ ᴀɢᴇ ᴀɴᴅ ᴀ ᴀɢᴇ ᴀғᴛᴇʀ 4 ʏᴇᴀʀs ɪ.ᴇ x + 4 ɪs 2

ʏ - (x + 4) = 2

ʏ - x - 4 = 2

ʏ - x = 2 + 4

ʏ - x = 6

ʏ = 6 + x.......(2)

ɴᴏᴡ sᴜʙsᴛɪᴛᴜᴛɪɴɢ ᴠᴀʟᴜᴇ ᴏғ ʏ ғʀᴏᴍ ᴇϙ..2 ᴛᴏ ᴇϙ..1

5x/3 = 6 + x

5x = 3 (6 + x)

5x = 18 + 3x

5x - 3x = 18

2x = 18

x = 18 /2

x = 9

ᴘʀᴇsᴇɴᴛ ᴀɢᴇ ᴏғ ᴀ ɪs 9 ʏᴇᴀʀs

ɴᴏᴡ sᴜʙsᴛɪᴛᴜᴛᴇ ᴠᴀʟᴜᴇ ᴏғ x ɪɴ ᴇϙ..1 ᴛᴏ ᴅᴇʀɪᴠᴇ ᴠᴀʟᴜᴇ ᴏғ ʏ

ʏ = 5x/3

ʏ = 5 × 9/3

ʏ = 45/3

ʏ = 15

ᴛʜᴇ ᴀɢᴇ ᴏғ ʙ ɪs 15 ʏᴇᴀʀs

ᴛᴏᴛᴀʟ ᴏғ ᴀ ᴀɴᴅ ʙ ᴀɢᴇ = 9 + 15 = 24 ʏᴇᴀʀs

ᴘᴇʀᴄᴇɴᴛᴀɢᴇ ᴏғ ᴀ ᴀɢᴇ = 9/24 × 100 = 37.5%

ᴘᴇʀᴄᴇɴᴛᴀɢᴇ ᴏғ ʙ ᴀɢᴇ = 15/24 × 100 = 62.5%

ᴀɴsᴡᴇʀ ᴘᴇʀᴄᴇɴᴛᴀɢᴇ ᴏғ ᴀ ᴀɢᴇ ɪs 37.5% ᴀɴᴅ ᴘᴇʀᴄᴇɴᴛᴀɢᴇ ᴏғ ʙ ᴀɢᴇ ɪs 62.5%.

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