A two digit number is 7 more than 3 times the
sum of its digits. If 36 is added to the number,
the digits are reversed. Find the number. [3]
Answers
Suppose the ten's place - x
Suppose the one's place - y
Number formed - 10x+y
After Interchanging the digits - 10y+x
From the first statement,
=10x+y=3(x+y)+7
=10x+y=3x+3y+7
=10x-3x+ y-3y=7
=7x-2y=7 ______(1)
& from the second statement,
=10x+y+36=10y+x
= 10x-x+y-10y=-36
= 9x-9y=-36
= x-y=-4 ____(2)
( equation patli ho gyi xD {jokes aside hehe^^} Because in the whole equation 9 was the common factor!!)
Eliminating the Equations,
we get ,
7x-2y=7 -----> 7x-2y =7
(x-y=-4 )7 -----> 7x-7y=-28
- + +
__________
5y=35
y=7
Placing the value of y in Equation (2),
=x-y=-4
=x-7=-4
=x=-4+7
=x= 3
Hence the number formed is 36 !
Hope it helps uhh !!❤
Thank you ❤❤
Answer:
37
Hope it helps uhh!
Arey mcq me ata hai direct tick kr de37..