Question

A no. consists of two digit of which tens digit exceed s the units digit by 6. the no. itself is equal to 10times the sum of its digits. find the no.

Answer 1

the required number is 60

Answer 2

Let's take the units digit be 'x'
So, ten's digit will be 'x+6'

The sum of the numbers is 10 times
So,*10

(In the standard form of any number let's take 10
So here
1 is multiplied by 10
whereas, 0 is multiplied by 1

thus we get 10)

assuming the above lines our ten's digit number will be multiplied by 10 ---
(x+6)(10) = 10x+60

same way 'x' will be multiplied by 1 which results in x

Now, let's find out x
Since the sum of the two digits equals to 10

thus,

(x+6)+(x) = 10

2x+6 =10

2x = 10-6

2x = 4

x =2

NOW WHY AREN'T WE USING 10X+60?
well only because it will only apply to the final numbers and not when we are adding . Example-1+0=2 whereas 10+0=10 and not 2

We are using the first example here

10(2)+60 =80 -------- 1

X=2 ---------2

THUS THE FINAL NUMBER IS 80+2=82

hope I helped you