a number consists of two digit when it is divided by the sum of the di

1.	a number consists of two digit when it is divided by the sum of the digits, the quotient is 6 and remainder is 3.If the digits are interchanged the quotient is 4 and remainder is 9
Answer» Answer: 75 Step-by-step explanation: LET the two digit NUMBER be 10x+y and no. obtained by interchanging the digital = 10y+x As per the first condition 10x+y= 6 (x+y)+3 4x-5y=3.. (i) As per the second condition 10y+x=4 (x+y)+9 -3x+6y=9.... (ii) Multiplying equation (i) by 3 and (ii) by 4 and ADDING them, we get 12x-15y=9 -12x+24y=36 ___________ 9y=45 y=455 Substitute y=5 in equation (i) 4x- 5X5=36 4x=28 x=7 So the numbers are 10x+y=10×7+5=75 HOPE THIS HELPS YOU!! HAVE A NICE DAY!!

a number consists of two digit when it is divided by the sum of the digits, the quotient is 6 and remainder is 3.If the digits are interchanged the quotient is 4 and remainder is 9

Answer»

Answer:

Step-by-step explanation:

LET the two digit NUMBER be 10x+y and no. obtained by interchanging the digital = 10y+x

As per the first condition

10x+y= 6 (x+y)+3

4x-5y=3.. (i)

As per the second condition

10y+x=4 (x+y)+9

-3x+6y=9.... (ii)

Multiplying equation (i) by 3 and (ii) by 4 and ADDING them, we get

12x-15y=9

-12x+24y=36

___________

9y=45

y=455

Substitute y=5 in equation (i)

4x- 5X5=36

4x=28

x=7

So the numbers are 10x+y=10×7+5=75

HOPE THIS HELPS YOU!!

HAVE A NICE DAY!!

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a number consists of two digit when it is divided by the sum of the digits, the quotient is 6 and remainder is 3.If the digits are interchanged the quotient is 4 and remainder is 9​

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a number consists of two digit when it is divided by the sum of the digits, the quotient is 6 and remainder is 3.If the digits are interchanged the quotient is 4 and remainder is 9