serdarcanfamily
serdarcanfamily serdarcanfamily
  • 23-12-2020
  • Mathematics
contestada

The sum of the digits of a two − digit number is 11. The unit's digit is 7 less than the ten's digit. Find the number.

Respuesta :

Muscardinus Muscardinus
  • 28-12-2020

Answer:

Number = 92

Step-by-step explanation:

Let the unit digit is x and that of tens digit is y.

ATQ,

x+y = 11 ....(1)

The unit's digit is 7 less than the ten's digit

x = y-7 ...(2)

Put the value of x from equation (2) in (1)

y-7+y = 11

2x-7 = 11

2x = 11+7

2x = 18

x = 9

Put the value of x in equation (1)

9+y = 11

y = 2

Hence, the number is 92.

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