A number is divided into two parts such that one part is 10 more than

1.	A number is divided into two parts such that one part is 10 more than the other. If the two parts are in the ratio 5:3, find the number and the two parts.
Answer» If a number is divided into two parts in he ratio of 5 : 3, let the parts be 5x, 3x say. According to the sum, 5x = 3x + 10 ⇒ 5x – 3x = 10 ⇒ 2x = 10 ∴ x = \(\frac{10}2\) ∴ x = 5 ∴ The required number be x + 3x = 8x = 8 × 5 = 40 And the parts of number are 5 = 5 × 5 = 25 3 = 3 × 5 = 15

A number is divided into two parts such that one part is 10 more than the other. If the two parts are in the ratio 5:3, find the number and the two parts.

Answer»

If a number is divided into two parts in he ratio of 5 : 3,

let the parts be 5x, 3x say.

According to the sum,

5x = 3x + 10

⇒ 5x – 3x = 10

⇒ 2x = 10

∴ x = \(\frac{10}2\)

∴ x = 5

∴ The required number be

x + 3x = 8x

= 8 × 5 = 40

And the parts of number are

5 = 5 × 5 = 25

3 = 3 × 5 = 15