Question

one number is seven times another. if their difference is 18 find the numbers ​

Answer 1

let one no. = x

let another no. = y

ATQ

x-y = 18 -------(1)

and

x = 7 y --------(2)

from equ. 2 put value of x in equ. 1

7y - y = 18

6 y = 18

y = 18/6

y = 3

put y= 3 in equ. 2

x = 7(3)

x= 21 ans

Answer 2

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

$⟶ x = \sf\cancel\dfrac{18}{6}$

⟶ 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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