Question

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Divide 32 into two parts such that if the larger number is divided by the

smaller number, the quotient is 2 and the remainder is 5.​

Answer 1

Step-by-step explanation:

Let the larger part be a and smaller part be b.

Given,

a + b = 32......(I)

and a/b = 2 + 5/b

Multiplying both sides by b, we get

= a = 2b + 5......(ii)

Substituting the value of a equation ( I ), we get

a + b = 32

= 2b + 5 + b = 32

= 3b = 32 - 5

= b = 27 / 3

= b = 9

Putting the value of b in equation ( I ), we get

a + b = 32

= a + 9 = 32

= a = 32 - 9

= a = 23