a number consists of 2 digits whose sum is 7.if 45 is added to the number the digits are reversed.Find the number
Answers
Answer:
A number consists of 2 digits whose sum is 7.
If 45 is added to the number the digits are reversed.
To calculate :
The number.
______________________________________
Explication of steps :
As the number consists of 2 digits, so let the number be 10x + y. Now according to the question, the sum of its digits is 7. Hence,
\twoheadrightarrow↠ ⠀⠀x + y = 7
Or, we can say that,
\twoheadrightarrow↠ ⠀⠀x = 7 ― y
Let this be equation ( 1 ).
Now, according to the question, if 45 is added to the number the digits are reversed. Writing this statement in the form of an equation,
\twoheadrightarrow↠ ⠀⠀10x + y + 45 = 10y + x
\twoheadrightarrow↠ ⠀⠀10x ― x + 45 = 10y ― y
\twoheadrightarrow↠ ⠀⠀9x + 45 = 9y
Substitute the value of x from equation ( 1 ).
\twoheadrightarrow↠ ⠀⠀9(7 ― y) + 45 = 9y
\twoheadrightarrow↠ ⠀⠀63 ― 9y + 45 = 9y
\twoheadrightarrow↠ ⠀⠀108 = 9y + 9y
\twoheadrightarrow↠ ⠀⠀108 = 18y
\twoheadrightarrow↠ ⠀⠀6 = y
Now, substitute the value of y in equation ( 1 ) to find the value of x.
\twoheadrightarrow↠ ⠀⠀x = 7 ― y
\twoheadrightarrow↠ ⠀⠀x = 7 ― 6
\twoheadrightarrow↠ ⠀⠀x = 1
Therefore,
Number = 10x + y = 10(1) + 6 = 16
∴ The number is 16.
Answer:
T. S. Eliot, “The Waste Land”
Without a doubt one of the most important poems of the 20th century. “It has never lost its glamour,” Paul Muldoon observed. “It has never failed to be equal to both the fracture of its own era and what, alas, turned out to be the even greater fracture of the ongoing 20th century and now, it seems, the 21st century.” See also: “The Love Song of J. Alfred Prufrock.”