Answer-A two-digit number has a sum of its digits equal to 10. Additionally, if 36 is subtracted from this...

Q: Answer-A two-digit number has a sum of its digits equal to 10. Additionally, if 36 is subtracted from this...

ATQ, Let ones and tens digit of the number be a and b respectively. So, original number 10b a Reverse number 10a bSo, a b 10 --------- I And, 10b a - 36 10a b Or, 9b - 9a 36 Or, b - a 4 ---------- IIOn adding equation I and II, We get, a b b - a 10 4 Or, 2b 14 Or, b 7On putting value of b in equation I, We get, 7 a 10 Or, a 3Required number 10 7 3 73

Question

Accepted Answer

ATQ,

Let ones and tens digit of the number be 'a' and 'b' respectively.

So, original number = 10b + a

Reverse number = 10a + b

So,

a + b = 10 --------- (I)

And, 10b + a - 36 = 10a + b

Or, 9b - 9a = 36

Or, b - a = 4 ---------- (II)

On adding equation I and II,

We get, a + b + b - a = 10 + 4

Or, 2b = 14

Or, 'b' = 7

On putting value of 'b' in equation I,

We get, 7 + a = 10

Or, 'a' = 3

Required number = 10 × 7 + 3 = 73

A two-digit number has a sum of its digits equal to 10.

Solution