One number is Seven times another. If their difference is 18,find the numbers
Answers
Answer:
THE NUMBERS WERE 21 AND 3
Step-by-step explanation:
LET THE SMALLER NUMBER BE X
BIGGER NUMBER = 7 X
ACCORDING TO THE QUESTION , 7 X - X = 18
= 6 X = 18
X = 3 ;
SO, THE SMALLEST NUMBER = 3 ;
AND THE BIGGER NUMBER =
7 * 3 = 21;
SO , THE BIGGER NUMBER = 21 ;
VERIFICATION
THE SMALLEST NUMBER WAS 3
AND THE BIGGER NUMBER WAS 21
21 - 3 = 18 ;
SINCE IN THE QUESTION, IT WAS GIVEN THAT THEIR DIFFERENCE IS 18 ,
SO R.H.S = L.H.S = 18.
HENCE PROVED .
THE NUMBERS WERE 21 AND 3.
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ɢɪᴠᴇɴ :
- one number is seven times the other.
- Their difference is 18.
ᴛᴏ ғɪɴᴅ :
- Find the number.
sᴏʟᴜᴛɪᴏɴ :
Here, we are given with statement only and we need to make a linear equation out of it, and then solve the problem. First we will take the no: as x and then second as 7x, then by transpose method, we will solve it further.
sᴏ -
Let the number be termed as x
One is seven times the other number = 7x
Difference is of 18
ᴏɴ sᴜʙsᴛɪᴛᴜᴛɪɴɢ ᴛʜᴇ ᴠᴀʟᴜᴇs :
⟶ 7x - x = 18
⟶ 6x = 18
⟶ x = 3
ɴᴏᴡ :
• First number = 3
• Second number = 7x = 7 × 3 = 21
ᴠᴇʀɪғɪᴄᴀᴛɪᴏɴ :
21 - 3 = 18
18 = 18
\therefore∴ The first and second number are 3 and 21
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