Question

The sum of the digits of a two-digit number is 10 and the difference between the
digits is 4. What is the two-digit number?​

Answer 1

Step-by-step explanation:

let the number be x and y

let the two digit number be 10 x + y

difference between them is

x- y is equal to 4

Answer 2

$\underline{ \frak{ \green {question}}}$

The sum of the digits of a two-digit number is 10 and the difference between the digits is 4 . What is the two-digit number?

$\underline{ \frak { \green { solution}}}$

Let,

ten's digit = x

one's digit = y

then,

x + y = 10 --- eqn(1)

x - y = 4

➷x = y + 4

putting in eqn (1)

y+4+y = 10

2 y = 6

$\boxed{\tt \: y = 3}$

putting value of y in eqn

x = y + 4

x = 3 + 4

$\boxed{ \tt \: x \: = 7}$

so,

the two digit number will be

$\tt \: 10x + y \\ \\ \tt \: 10(7) + (3) \\ \\ \tt \: = 73$

Hence, the number will contain 7 and 3 as digits.

being 73.