The sum of number of a two-digit number is 8. If 36 is added to the number climate the number reversed. Discover the number.

You are watching: The sum of the digits of a two-digit number is 8


*

Given :

The sum of the digits of a two-digit number is 8, if 36 is included to the number the digits obtain reversed.

To discover :

We have actually to find the number.

Solution :

Let the number it is in $10x+y$.

$x+y=8$

It is additionally given the if 36 is added to the number the digits gets reversed.

Therefore,

$10x+y+36 = 10y+x$

$10y+x-10x-y = 36$

$10y-y+x-10x= 36$

$9y-x(10-1)=36$

$9y-9x=36$

$9(y-x)=36$

$y-x=frac369$

$y-x=4$

$y-x=4$ and $x+y=8$

Adding them,

$y-x+x+y=4+8$

$2y=12$

$y=frac122$

$y=6$

$x+6=8$

$x=8-6$

$x=2$

The initial number is $10(2)+6=20+6=26$.

Therefore, the number is 26.


0

connected Doubts


View More


Referral Program

Distribute the referral code to her friends and also ask them come register with usmam.org utilizing this referral code.

Once we acquire 15 subscriptions v your referral code, we will certainly activate your 1 year subscription certain free.

Your subscribed friend will also get 1 month subscription certain free.

See more: What Does Sw Mean On Jewelry ? What Does Sw 925 Mean On Jewelry


*

*
Ask your Doubts

We space really eager to clarify her doubts


*

*
An amazing means to learn Maths and also Science v high top quality visuals for sixth to class 12th, NEET and IIT/JEE exams preparation.Join Now
1800-833-6464 contact
usmam.org

Company


around Us
our Team
our Faculty
Behind the Scene
usmam.org for Schools
call Us
FAQ

Reseller Opportunity

*

Follow us
Available on
*
*

terms of use| Refund Policy| Privacy Policy
her trail period will expire in 0 days
, please Buy Activation to continue your learning.