Let the tens digit of the required number be x
and unit digit of the required number be y
Required number = 10x + y
According to the question,
10x + y = 4(x + y) + 3
⤇ 10x + y = 4x + 4y + 3
⤇ 10x - 4x = 4y - y + 3
⤇ 6x = 3y + 3
⤇ 6x - 3y = 3
⤇ 3(2x - y) = 3
⤇ 2x - y =
⤇ 2x - y = 1 .........................(i)
Again we have,
10x + y + 18 = 10y + x
⤇ 10x - x + 18 = 10y - y
⤇ 9x + 18 = 9y
⤇ 9x - 9y = -18
⤇9(x - y) = -18
⤇ x - y =
⤇ x - y = -2 ..........................(ii)
On subtracting eq (ii) from eq (i),
(2x - y) - (x - y) = 1 - (-2)
⤇ 2x - x - y - (-y) = 1 + 2
⤇ x - y + y = 3
⤇ x = 3
Putting the value of x in equation (i),
2x - y = 1
⤇ 2 × 3 - y = 1
⤇ 6 - y = 1
⤇ -y = 1 - 6
⤇ -y = -5
⤇ y = 5
Required number = 10 × 3 + 5
Required number = 30 + 5
Required number = 35
Hence,the required number will be 35.
I hope you understand my writing...
Copyright © 2024 EHUB.TIPS team's - All rights reserved.
Answers & Comments
Given :-
To find :-
Solution :-
Let the tens digit of the required number be x
and unit digit of the required number be y
Required number = 10x + y
According to the question,
10x + y = 4(x + y) + 3
⤇ 10x + y = 4x + 4y + 3
⤇ 10x - 4x = 4y - y + 3
⤇ 6x = 3y + 3
⤇ 6x - 3y = 3
⤇ 3(2x - y) = 3
⤇ 2x - y =![\rm\cancel\dfrac{3}{3} \rm\cancel\dfrac{3}{3}](https://tex.z-dn.net/?f=%5Crm%5Ccancel%5Cdfrac%7B3%7D%7B3%7D)
⤇ 2x - y = 1 .........................(i)
Again we have,
10x + y + 18 = 10y + x
⤇ 10x - x + 18 = 10y - y
⤇ 9x + 18 = 9y
⤇ 9x - 9y = -18
⤇9(x - y) = -18
⤇ x - y =![\rm\cancel\dfrac{-18}{9} \rm\cancel\dfrac{-18}{9}](https://tex.z-dn.net/?f=%5Crm%5Ccancel%5Cdfrac%7B-18%7D%7B9%7D)
⤇ x - y = -2 ..........................(ii)
On subtracting eq (ii) from eq (i),
(2x - y) - (x - y) = 1 - (-2)
⤇ 2x - x - y - (-y) = 1 + 2
⤇ x - y + y = 3
⤇ x = 3
Putting the value of x in equation (i),
2x - y = 1
⤇ 2 × 3 - y = 1
⤇ 6 - y = 1
⤇ -y = 1 - 6
⤇ -y = -5
⤇ y = 5
Required number = 10x + y
Required number = 10 × 3 + 5
Required number = 30 + 5
Required number = 35
Hence,the required number will be 35.
Verified answer
I hope you understand my writing...