Question

The sum of digits of a2- digit number is 3. If the number is 6 times the ones digit, find the number

Answer 1

let ones digit number be y 

and tens digit number be x

where, x>y

according to question

x=6y....... (1)

and x +y = 9

6y +y=9

7y= 9

y=9/7

putting the value of y in equation (1)

x=6*9/7

x=54/7

so x=54/7 and y=9/7

Click to let others know, how helpful is it

4.0

21 votes

THANKS

44

Report

answer is 36 in my book

Answer is 36 in my book

TooFree ★ Brainly Teacher ★

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