The ages of A and B are in the ratio 5 : 3. After 6 years, their ages will be in the ratio 7 : 5.
The present age of A is ...
1 point
5 years
10 years
15 years
20 years
The present age of A is ...
1 point
5 years
10 years
15 years
20 years
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ɢɪᴠᴇɴ :-
☀ ʀᴀᴛɪᴏ ᴏғ ᴘʀᴇꜱᴇɴᴛ ᴀɢᴇꜱ ᴏғ ᴀ ᴀɴᴅ ʙ = 5 : 3
☀ ʀᴀᴛɪᴏ ᴀғᴛᴇʀ 6 ʏᴇᴀʀꜱ = 7 : 5
ᴛᴏ ғɪɴᴅ :-
☀ ᴘʀᴇꜱᴇɴᴛ ᴀɢᴇ ᴏғ ᴀ
ꜱᴏʟᴜᴛɪᴏɴ :-
☀ ʟᴇᴛ ᴛʜᴇɪʀ ᴘʀᴇꜱᴇɴᴛ ᴀɢᴇꜱ ʙᴇ ᴀᴄᴄᴏʀᴅɪɴɢ ᴛᴏ ᴛʜᴇ ʀᴀᴛɪᴏ :
ᴀ = 5x
ʙ = 3x
☀ ᴀғᴛᴇʀ 6 ʏᴇᴀʀꜱ
ᴀ = 5x + 6
ʙ = 3x + 6
☀ ᴀᴛϙ :
☀ ʟᴇᴛ'ꜱ ғɪɴᴅ ᴛʜᴇɪʀ ᴘʀᴇꜱᴇɴᴛ ᴀɢᴇꜱ ʙʏ ꜱᴜʙꜱᴛɪᴛᴜᴛɪɴɢ ᴛʜᴇ ᴠᴀʟᴜᴇꜱ !
ᴘʀᴇꜱᴇɴᴛ ᴀɢᴇ ᴏғ ᴀ = 5x = 5 × 3 = 15 ʏᴇᴀʀꜱ
ᴘʀᴇꜱᴇɴᴛ ᴀɢᴇ ᴏғ ʙ = 3x = 3 × 3 = 9 ʏᴇᴀʀꜱ
∴ ᴘʀᴇꜱᴇɴᴛ ᴀɢᴇ ᴏғ ᴀ ɪꜱ 15 ʏᴇᴀʀꜱ
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ᴀʟʟ ᴅᴏɴᴇ ! :ᴅ