The difference between the digits of a two digit number is 1. The number itself is more than 5 times the sum of the digits. If t

Question

expeople1 [14]

3 years ago

12

The difference between the digits of a two digit number is 1. The number itself is more than 5 times the sum of the digits. If t

he unit digit is greater than the tens digit, find the number.
I need the workings please

Mathematics

1 answer:

adoni [48] · Answer 1 · 2022-03-20T12:12:55+03:00

adoni [48]3 years ago

7 0

Xy is the number (doesn't mean x times y)
y-x=1

10x+y>5(x+y)
x<y
y-x=1
y=x+1

10x+y>5(x+y)
10x+y>5x+5y
minus (5x+y) from both sides
5x>4y
sub x+1 for y
5x>4(x+1)
5x>4x+4
minus 4x
x>4
y=x+1
y>5
the number can be
56,67,78,89