a number consist of two digits of which the tens digit exceeds the unit digit by 6 the number itself - Maths - Linear Equations in One Variable

Question

a number consist of two digits of which the tens digit exceeds
the unit digit by 6 the number itself is equal to tens times the
sum of its find the num

Ananya · Accepted Answer

let unit digit be x
tens digit =x+6
value of no
10(x+6)+x
10x+60+x
11x+60
ten times sum of digits=10(x+x+6)
10(2x+6)
20x+60
according to question
20x+60=11x+60
20x-11x=60-60
9x=0
x=0/9=0
therefore unit digit = 0
tens digit=0+6
therefore no =60

a number consist of two digits of which the tens digit exceeds the unit digit by 6.the number itself is equal to tens times the sum of its.find the num.