The sum of the digits of a two-digit number is 7. The number obtained by interchanging the digits exceeds the original number by 27. Find the number. 10x + 70 + x + 27 = 10x + ( x - 7 )
Answers
Answer:
let the units place be x
let the units place be xthen the tens digit be 7 - X
let the units place be xthen the tens digit be 7 - Xnumber formed by these digits 10 x t's =
let the units place be xthen the tens digit be 7 - Xnumber formed by these digits 10 x t's =digit+u's digit
let the units place be xthen the tens digit be 7 - Xnumber formed by these digits 10 x t's =digit+u's digit=> 10(7-x)+x
let the units place be xthen the tens digit be 7 - Xnumber formed by these digits 10 x t's =digit+u's digit=> 10(7-x)+x70 x -10 x + x
let the units place be xthen the tens digit be 7 - Xnumber formed by these digits 10 x t's =digit+u's digit=> 10(7-x)+x70 x -10 x + x70 x -9x
let the units place be xthen the tens digit be 7 - Xnumber formed by these digits 10 x t's =digit+u's digit=> 10(7-x)+x70 x -10 x + x70 x -9xwhen the digits are interchanged than,
let the units place be xthen the tens digit be 7 - Xnumber formed by these digits 10 x t's =digit+u's digit=> 10(7-x)+x70 x -10 x + x70 x -9xwhen the digits are interchanged than,t's digit= x
let the units place be xthen the tens digit be 7 - Xnumber formed by these digits 10 x t's =digit+u's digit=> 10(7-x)+x70 x -10 x + x70 x -9xwhen the digits are interchanged than,t's digit= xu's digit = 7-x =
let the units place be xthen the tens digit be 7 - Xnumber formed by these digits 10 x t's =digit+u's digit=> 10(7-x)+x70 x -10 x + x70 x -9xwhen the digits are interchanged than,t's digit= xu's digit = 7-x =the new no. formed = 10x + 7-X
let the units place be xthen the tens digit be 7 - Xnumber formed by these digits 10 x t's =digit+u's digit=> 10(7-x)+x70 x -10 x + x70 x -9xwhen the digits are interchanged than,t's digit= xu's digit = 7-x =the new no. formed = 10x + 7-X= 9 x +7
given that the no. exceeds by 27
given that the no. exceeds by 27new no. - given no.
given that the no. exceeds by 27new no. - given no.9x +7 - (70-9x)=27 9 x +7- 70 + 9x =27
given that the no. exceeds by 27new no. - given no.9x +7 - (70-9x)=27 9 x +7- 70 + 9x =2718x -63= 27
given that the no. exceeds by 27new no. - given no.9x +7 - (70-9x)=27 9 x +7- 70 + 9x =2718x -63= 2718 x = 63+27
given that the no. exceeds by 27new no. - given no.9x +7 - (70-9x)=27 9 x +7- 70 + 9x =2718x -63= 2718 x = 63+2718 x= 90
given that the no. exceeds by 27new no. - given no.9x +7 - (70-9x)=27 9 x +7- 70 + 9x =2718x -63= 2718 x = 63+2718 x= 90x= 90/18
given that the no. exceeds by 27new no. - given no.9x +7 - (70-9x)=27 9 x +7- 70 + 9x =2718x -63= 2718 x = 63+2718 x= 90x= 90/18=5
given that the no. exceeds by 27new no. - given no.9x +7 - (70-9x)=27 9 x +7- 70 + 9x =2718x -63= 2718 x = 63+2718 x= 90x= 90/18=5the no. = 70-9x =
given that the no. exceeds by 27new no. - given no.9x +7 - (70-9x)=27 9 x +7- 70 + 9x =2718x -63= 2718 x = 63+2718 x= 90x= 90/18=5the no. = 70-9x ==> 70-45
given that the no. exceeds by 27new no. - given no.9x +7 - (70-9x)=27 9 x +7- 70 + 9x =2718x -63= 2718 x = 63+2718 x= 90x= 90/18=5the no. = 70-9x ==> 70-45=> 25 ans
given that the no. exceeds by 27new no. - given no.9x +7 - (70-9x)=27 9 x +7- 70 + 9x =2718x -63= 2718 x = 63+2718 x= 90x= 90/18=5the no. = 70-9x ==> 70-45=> 25 ansverify : 2+5 = 7
Step-by-step explanation:
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