Question

1) The sum of the square of three consecutive even integers is 200.find the

number

2) a two digit number is such that the product of the digits is 8. when 18

is added to the number then the digits are reversed find the two digit

number

3) A two digit positive number is such that the product of its digit is 6. If

9 is added to the number, the digits interchange their places. Find the

number.

4)In a two digit number,the unit's digit exceed its ten's digit by 2 .The product of the given number and the sum of the digit is equal to 144 .Find the number



5) A two digit number is such that the product of the digit is 35, when 18is added

to the number, the digits interchange their places. Find the number.

6) Three consecutive positive integers are such that the sum of the square of the

first and the product of the other two is 46, find the integers.​

Answer 1

Answer:

2)Let the units digit be x.

Hence, ten's digit is x8

Hence, the number is  10.x8+x

                                     

 Now  acc. to condition  

 x80+x+18=10x+x8

80+x2+18x=10x2+8

9x2−18x−72=0

x2−2x−8=0

x2−4x+2x−8=0

x(x−4)+2(x−4)=0

(x+2)(x−4)=0

x=−2 and x=4

Hence, the ten's digit is 48=2

Hence, the number is 24

Answer 2

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