### In a garden, there are 6 daisy plants the first year. Each year, a gardener adds 3 new daisy plants. He has 26 jasmine plants the first year and loses 2 each year. When will the number of daisy plants equal to the number of jasmine plants after the first year?

**Options: **

a) 6 years

b) 4 years

c) 5 years

d) 2 years

SSC CGL Exam 2024 – Quantitative Aptitude

### Solution with Short trick

Let daisy plants equal to the number of jasmine plants after n years

There are 6 daisy plants the first year and each year, a gardener adds 3 new daisy plants.

daisy plants after n year = 6+3n

26 jasmine plants the first year and loses 2 each year.

jasmine plants after n year = 26-2n

Number of daisy plants equal to the number of jasmine plants after n year

Therefore, 6+3n = 26-2n

=> 3n+5n (5n) = 26-6(20)

=> n =20/5 = 4 years

Correct Answer – 4 years

Another Method :

Plant Name | Initial | 1st year | 2nd year | 3rd year | 4th year |

daisy plants | 6 (Add 3 every year) | 9 | 12 | 15 | 18 |

jasmine plants | 26 (Subtract 2 every year) | 24 | 22 | 20 | 18 |