Math, asked by yeshikagairolap1emxz, 1 year ago

The digit at tens place is twice the digit at units place in a two-digit number.
The number formed by interchanging the digits is 18 less than the original
number. Find the two-digit number.

Answers

Answered by RishabhBansal
15
Hey!!!

_____________

let the ten's digit be x and unit digit be y.

Then

ATQ,

=> x = 2y

And

=> 10x + y - 18 = 10y + x

=> 9x - 9y = 18

=> x - y = 2

=> 2y - y = 2

=> y = 2

Thus x = 4

Original Number = 42

_________

Hope this helps

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Answered by ParvezShere
0

The two-digit number is 42.

Given:

The digit at tens place is twice the digit at units place in a two-digit number. The number formed by interchanging the digits is 18 less than the original number.

To Find:

Find the two-digit number.

Solution:

Let the digit at ten's place be x and at the ones place be y.

According to what is given,

⇒x = 2y ---- eq 1

Also,

⇒10x + y -18 = 10y + x

⇒9x - 9y = 18

⇒x - y = 2 ---- eq 2

By replacing the value of x from eq 1 in eq 2

⇒2y - y = 2

⇒y = 2

Therefore, x = 2(2) = 4

The two-digit number is 42.

#SPJ2

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