21. Sum of two number is 65
and two numbers are in the
ratio of 6;7. Find the number
adiraj12398:
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Answers
Answered by
12
Given :
- The ratio of two number is 6 : 7
- And their sum is 65
To find :
- The number
According to the question,
Let the ratio be 6x and 7x.
➞ 6x + 7x = 65
➞ 13x = 65
➞ x = 65 ÷ 13
➞ x = 5
★ Value of 6x :
➞ 6x
➞ 6(5)
➞ 30
★ Value of 7x :
➞ 7x
➞ 7(5)
➞ 35
- So,the numbers are 30 and 35.
_____________________
VERIFICATION :
➞ 6x + 7x = 65
➞ Putting the value of x = 5
➞ 6(5) + 7(5) = 65
➞ 30 + 35 = 65
➞ 65 = 65
.°. L.H.S = R.H.S
Hence, Verified.
Answered by
152
Qᴜᴇsᴛɪᴏɴ :-
➨sᴜᴍ ᴏғ ᴛᴡᴏ ɴᴜᴍʙᴇʀ ɪs 65 ᴀɴᴅ ᴛᴡᴏ ɴᴜᴍʙᴇʀs ᴀʀᴇ ɪɴ ᴛʜᴇ ʀᴀᴛɪᴏ ᴏғ 6:7.ғɪɴᴅ ᴛʜᴇ ɴᴜᴍʙᴇʀ.
Aɴsᴡᴇʀ:-
➨Gɪᴠᴇɴ:-
sᴜᴍ ᴏғ ᴛᴡᴏ ɴᴜᴍʙᴇʀ ɪs 65
ʀᴀᴛɪᴏ ᴏғ ᴛᴡᴏ ɴᴜᴍʙᴇʀ ɪs 6:7
➨Tᴏ ғɪɴᴅ:-
ғɪɴᴅ ᴛʜᴇ ɴᴜᴍʙᴇʀ
➨sᴏʟᴜᴛɪᴏɴ:-
ʟᴇᴛ ᴛʜᴇ ɴᴜᴍʙᴇʀ ʙᴇ 6x ᴀɴᴅ 7x
sᴏ,
➨6x+7x=65
➨13x=65
➨x=5
Vᴇʀɪғɪᴄᴀᴛɪᴏɴ:-
➨ 6×5+7×5
➨ 30+35
➨65
sᴏ ᴛʜᴇ ɴᴜᴍʙᴇʀs ᴀʀᴇ 30 ᴀɴᴅ 35.
ᴀɴᴅ ᴀʟʟ ᴡᴇ ᴀʀᴇ ᴅᴏɴᴇ✔️
ʜᴏᴘᴇ ɪᴛs ʜᴇʟᴘs ᴜʜ❣️
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