Question

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Answer 1

Answer:

Define x and y:

The digit in the tens place is x

The digit in the ones place is y

The number is (10x + y)

Form equation 1 :

The sum of the digits is 9

x + y = 9

x = 9 - y

Form equation 2 :

The number is 6 times the units

10x + y = 6y

Put the two equations together:

x = 9 - y -------------------- [ 1 ]

10x + y = 6y -------------------- [ 2 ]

Find y:

Sub [ 1 ] into [ 2 ]:

10(9 - y) + y = 6y

90 - 10y + y = 6y

90 - 9y = 6y

15y = 90

y = 90 ÷ 15

y = 6

Find x:

When y = 6

x = 9 - 6

x = 3

Find the number

The number = 10x + y

The number = 10(3) + 6

The number = 36

Answer: The number is 36

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Answer 2

Answer:

let the figure be x and y

now,

x+y = 9. .....(1)

10x+y = 6y.

or, 10x = 6y-y

or, 10x = 5y

or, y = 10x/5

or, y= 2x

now,

putting the value of y in equation (1)

x+y = 9

or, x+2x= 9

or, 3x = 9

or, x = 9/3

or, x = 3

so, y = 2x = 2×3 = 6

so the number is 36

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