Math, asked by sonybravia3dir, 11 months ago

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

Answered by mahek270597
47

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

Answered by badgujarrishabh2006p
0

Answer:

37

Hope it helps uhh!

Arey mcq me ata hai direct tick kr de37..

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