Math, asked by anushkagouraha, 1 year ago

a two digit number is 3 more than 4 times the sum of its digit if 18 is added to the number ,the digit are reversed find the number

Answers

Answered by dolly1723

168

here is the ans..

Hope it helps..

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dolly1723: ok i will try..

anushkagouraha: thankyou

anushkagouraha: you say you will try but you don't try to answer my another question

anushkagouraha: dolly if sometime you don't busy so try to answer my question if you know pm...

anushkagouraha: pl.....dolly request

anushkagouraha: because you give solution is very helpful for me

anushkagouraha: thankyou so much for this

anushkagouraha: pl...reply after sometime

anushkagouraha: and sorry for your inconvenience

dolly1723: okkk

Answered by RenatoMattice

Answer: The number will be 35.

Step-by-step explanation:

Since we have given that

Let the unit digit be 'x'.

And let the ten's digit be 'y'.

So, the two digit number will be 10y+x

According to question,

$(10y+x)-4(x+y)=3\\\\10y+x-4x-4y=3\\\\6y-3x=3\\\\2y-x=1-------------(1)$

If 18 is added to the number, the digit are reversed.

So, it becomes,

$18+10y+x=10x+y\\\\18=10x-x+y-10y\\\\18=9x-9y\\\\2=x-y----------(2)$

From eq(1) and (2), we get that

$2y-x=1\\\\-y+x=2\\\\----------------------------------------\\y=3\\\\and\ x-y=2\\\\x-3=2\\\\x=2+3\\\\x=5$

So, the number will be

$10y+x\\\\=10\times 3+5\\\\=30+5\\\\=35$

Hence, the number will be 35.

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