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Prateekk1
@Prateekk1
June 2021
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A two digit number is 3 more than 4 times the sum of its digits. if 18 is added to the number, it's digits are reversed. find the number
Answers & Comments
Trisha88
Let the digit in ones place: x
let the digit in tens place: y
original number: 10y + x
when digits reversed, the number is: 10x+y
10y + x = 4(x+y) + 3
or, 10y + x - 4x - 4y = 3
or, 6y - 3x = 3
or, 2y - x = 1 --- (1)
(10y + x) + 18 = 10x + y
or, 18 = 10x + y - 10y - x
or, 9x - 9y = 18
or, 9(x - y) = 18
or, x - y = 2 ----(2)
(1) + (2)
= 2y - x = 1
x - y = 2
-----------------
y = 3
x - y = 2
or, x - 3 = 2
or, x = 5
10y + x
= 10.3 + 5
= 35
The two digit number is 35
4 votes
Thanks 8
Prateekk1
trisha yea tuuuu hai meri classmates
Trisha88
:)
Prateekk1
is it u
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Answers & Comments
let the digit in tens place: y
original number: 10y + x
when digits reversed, the number is: 10x+y
10y + x = 4(x+y) + 3
or, 10y + x - 4x - 4y = 3
or, 6y - 3x = 3
or, 2y - x = 1 --- (1)
(10y + x) + 18 = 10x + y
or, 18 = 10x + y - 10y - x
or, 9x - 9y = 18
or, 9(x - y) = 18
or, x - y = 2 ----(2)
(1) + (2)
= 2y - x = 1
x - y = 2
-----------------
y = 3
x - y = 2
or, x - 3 = 2
or, x = 5
10y + x
= 10.3 + 5
= 35
The two digit number is 35