# | | Question 18

A number is divided into two parts in such a way that 60% of 1st part is 2 more than the 40% of 2nd part and 60% of the 2nd part is 1 more than the 40% of 1st part.Find the number.

**(A)** 15

**(B)** 17

**(C)** 19

**(D)** 21

**Answer:** **(A)** **Explanation:** Acc. to question

60% a – 40% b = 2

(60/100)a – (40/100)b = 2

6a – 4b = 20…………(1) x4

and 60% b – 40% a = 1

(60/100)b – (40/100)a = 1

6b – 4a = 10………….(2) x6

From (1) and (2)

36b – 16b = 140

20b = 140

b= 7

Put b in 1, we get a=8

Hence, the number is (7+8)=**15**

Quiz of this Question

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