Question

Divide 36 into two equal parts in such a way that 1/5of one part is equal to 1/7 of another

Answer 1

Answer:

Let the two parts be: x and y

x+y = 36 ---(Eqtn 1)

Given:

1/5x = 1/7y

7x = 5y

7x - 5y = 0

Multiply Eqtn (1) by 5

5x + 5y = 180

Use simultaneous equation and eliminate y

7x - 5y = 0

5x + 5y = 180

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12x = 180

x = 180/12 = 15

y = 36 -15 = 21

15 and 21 are the numbers