Question

if a number consists of two digits if the digit in the tens place exceeds the digit in the units place by 4 the sum of digits is 1/7 of the number then the number is...........

Answer 1

Let the unit's digits be x

then ten's digit be x + 5

Number =10(x+5)+x=10x+50+x=11x+50=10(x+5)+x=10x+50+x=11x+50

Digits are reversed =10x+x+5=10x+x+5

According to question

11x+50−5(2x+5)=10x+x+511x+50−5(2x+5)=10x+x+5

x+25=11x+5x+25=11x+5

10x=2010x=20

x=2x=2

Sum of digits

=2x+5=2×2+5=9=2x+5=2×2+5=9