oo c palr oI eqatiรณns has no solution.ample 13 The sum of a two-d

1.	oo c palr oI eqatiรณns has no solution.ample 13 The sum of a two-digit number and the number othe digits is 66. If the digits of the number differ by 2, find the numnumbers are there?ExaIHber
Answer» Let the unit digit is ‘x’ and the 10th digit is ‘y’ The number is 10y +x Reversed number is 10x+y Given 11x + 11y = 66 x + y = 6 [dividing by 11]…….(1) Also x - y = 2…….......... (2) Add eq(1) and eq(2) we get2x = 8x = 8/2 = 4 Put value of x in eq(1)4 + y = 6y = 6 - 4 = 2 The number is 10y + x10*2 + 4 = 24 [check 24+42=66, 4-2=2]

oo c palr oI eqatiรณns has no solution.ample 13 The sum of a two-digit number and the number othe digits is 66. If the digits of the number differ by 2, find the numnumbers are there?ExaIHber

Answer»

Let the unit digit is ‘x’ and the 10th digit is ‘y’

The number is 10y +x

Reversed number is 10x+y

Given 11x + 11y = 66

x + y = 6 [dividing by 11]…….(1)

Also x - y = 2…….......... (2)

Add eq(1) and eq(2) we get2x = 8x = 8/2 = 4

Put value of x in eq(1)4 + y = 6y = 6 - 4 = 2

The number is 10y + x10*2 + 4 = 24

[check 24+42=66, 4-2=2]