Q.The sum of the digits of a two digit number is 5. The digit obtained

1.	Q.The sum of the digits of a two digit number is 5. The digit obtained byincreasing the digit in ten's place by unity is one-eighth of the number. Find thenumber.
Answer» Let the digit in unit place be y and digit in tens place be x the number will be 10x+y therefore from first condition x+y=5.......(1) from second condition x+1=1/8*10x+y therefore 8x+8=10x+y 8=10x-8x+y 8=2x+y....................................(2) now subtracting equation (1) from (2) 2x+y=8-(x+y)=-5 x =3now putting value of x in equation (1) 3+y=5 y=5-3 y =2 so the number is 32

Q.The sum of the digits of a two digit number is 5. The digit obtained byincreasing the digit in ten's place by unity is one-eighth of the number. Find thenumber.

Answer»

Let the digit in unit place be y and digit in tens place be x

the number will be 10x+y

therefore from first condition x+y=5.......(1)

from second condition x+1=1/8*10x+y

therefore 8x+8=10x+y 8=10x-8x+y 8=2x+y....................................(2)

now subtracting equation (1) from (2)

2x+y=8-(x+y)=-5 x =3now putting value of x in equation (1)

3+y=5 y=5-3 y =2

so the number is 32

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Q.The sum of the digits of a two digit number is 5. The digit obtained byincreasing the digit in ten's place by unity is one-eighth of the number. Find thenumber.​

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Q.The sum of the digits of a two digit number is 5. The digit obtained byincreasing the digit in ten's place by unity is one-eighth of the number. Find thenumber.