Question

The sum of the digits of a two-digit number is 15 and the difference between the digits is 3. What is the two-digit number? *
69
78
96
Cannot be determined​

Answer 1

Answer:

69

Step-by-step explanation:

Let the first digit is x

Let the second digit is x+3

then x + x + 3 = 15

2x = 15 - 3

x = 12/2

x = 6

then first digit is x = 6

Second digit = x + 3 = 6 + 3 = 9

So the two-digit number will be 69

Thank you.

Answer 2

$\purple{\text{Given \: - }}$

• Sum of the digits of a two digit number is 15.
• Difference between the digits is 3.

$\purple{\text{To \: Find \: - }}$

• That two digit number.

$\purple{\text{Let \: - }}$

• Ten's place digit = x
• One's place digit = y

$\blue{\text{Sum \: of \: digits}}$

➝ x + y = 15 ___i)

$\blue{\text{Difference \: between \: digits}}$

➝ x - y = 3 ___ii)

$\large{ \pink{ \mathfrak{According \: to \: question \: - }}}$

$\purple{\text{Add \: eq \: i) \: and \: ii)}}$

___________________________

$\sf\implies \: x + y + x - y = 15 + 3 \\ \\ \sf\implies \: 2x = 18 \\ \\ \: \sf\implies \: x =\cancel \dfrac{18}{2} \\ \\ \sf\implies \: x = 9$

$\purple{\text{Put \: the \: value \: of \: x \: in \: eq \: i)}}$

_______________________________

$\sf\implies \: x +y = 15 \\ \\ \sf\implies \: 9 + y = 15 \\ \\ \sf\implies \: y = 15 - 9 \\ \\ \sf\implies \: y = 6$

Hence, the number is 96.