Question

Tha sum of two natural number is 97.if tha gretaer number is divided by the smaller one, the quotient is 7 and the reminder is 1 .find the number

Answer 1

Let the larger number be x and smaller number be y.

As per the first given condition,

x + y = 97 ........eq. no. (1)

As per the second condition,

Dividend = Divisor × Quotient + Remainder

x = y × 7 + 1

∴  x = 7y + 1

∴  x – 7y = 1 .......(2)

Subtracting (2) from (1),

x + y = 97

x – 7y = 1

(-)  (+)   (-)

      8y = 98

∴ y = 96/8

∴ y = 12

Substituting y = 12 in equation (1)

∴ x + y = 97

∴ x + 12 = 97

∴ x = 97 – 12

∴ x = 85


∴ The two numbers are 85 and 12.

Answer 2

R1+R2 # 97.......(1)
R1 # R2/7+1
R2 # -7+7R1.....(2)
samikar (2) ka man (1) main rakhne par
R1-7+7R1 # 97
8R1 # 104
R1 # 13
R1 KA MAN (1) MAIN RAKHNE PAR
13+ R2 # 97
R2 # 84
(R1,R2)(13,84) IS THE ANSWER OF THIS QUESTION.