Question

in two digit nos the one place exceeds the tens place by 1 and tge product of the given no and its tens place is 280

asnwer asap

Answer 1

Answer:

X=2+Y⟹(i)

And (10Y+X)(X+Y)=144

10XY+10Y

2

+X

2

+XY=144

11XY+10Y

2

+X

2

=144⟹(ii)

Substitute X from (i) in (ii) and get

11(2+Y)Y+10Y

2

+(2+Y)

2

=144

22Y+11Y

2

+10Y

2

+4+4Y+Y

2

=144

22X+11X

2

+40+40X+10X

2

=144

22Y

2

+26Y−140=0

11Y

2

+13Y−70=0

11Y

2

+35Y−22Y−70=0

Y(11Y+35)−2(11Y+35)=0

(y−2)(11Y+35)=0

Now either (Y−2)=0

Y=2

Or 11Y+35=0