Question

A two digit number is 2 more than the 5 times the sum of its digits. If the digits in tens place is 1 less than the digits in the units place, find number​

Answer 1

x+y=5

x+y=5and x+1=

x+y=5and x+1= 8

x+y=5and x+1= 81 (10x+y) .........(1) 8x+8=10x+y

x+y=5and x+1= 81 (10x+y) .........(1)or 8x+8=10x+yor 2x+y=8 .........(2)

equation (1) from equation (2)2x+y=8+x+y=5(−)(−)(−)

x+y=5and x+1= 81 (10x+y) .........(1)or 8x+8=10x+yor 2x+y=8 .........(2)Subtract

Subtract equation (1) from equation (2)2x+y=8+x+y=5(−)(−)(−) x=3

x+y=5and x+1= 81 (10x+y) .........(1)or 8x+8=10x+yor 2x+y=8 .........(2)Subtract equation (1) from equation (2)2x+y=8+x+y=5(−)(−)(−) x=3∴y=2

x+y=5and x+1= 81 (10x+y) .........(1)or 8x+8=10x+yor 2x+y=8 .........(2)Subtract equation (1) from equation (2)2x+y=8+x+y=5(−)(−)(−) x=3∴y=2Number is 32.