Question

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

Answer 1

Given:

A number 36 is divided into two parts

1/5 of one part is equal to 1/7 of other part

To Find:

Both parts

Solution:

Let one part be = x

So other part will be = 36 - x

Now ATQ

1/5 × x = 1/7 × (36 - x)

7x = 5(36 - x)

7x = 180 - 5x

7x + 5x = 180

12x = 180

x = 15

Another part = 36 - 15 = 21

Hence, one part is 15 and other part is 21.

Answer 2

Answer:

Let the two parts be a and b, Hence (a + b) = 36

• According to the Question :

⇒ 1/5 of a = 1/7 of b

⇒ a/b = 7/5

⇒ a : b = 7 : 5

• Sum of the Parts :

⇢ a + b ≡ 36

⇢ 7 + 5 ≡ 36

⇢ 12 ≡ 36

• Dividing both by 12

⇢ 1 ≡ 3

• Two Parts of the Number :

◗ a = (7 × 3) = 21

◗ b = (5 × 3) = 15

∴ Hence, Parts are 21 and 15 respectively.