two number are on the ratio 2:3.if 12 is added to both the numbers, ratio becomes 5:6.find the numbers

The numbers are: 8 , 12

Step-by-step explanation:

Ratio of two numbers = 2:3

Two numbers are : 2x , 3x

Cross multiply,

6*(2x + 12) = 5*(3x+12)

6*2x +6*12 = 5*3x + 5*12

12x + 72 = 15x + 60

72 - 60 = 15x - 12x

12 = 3x

3x = 12

x = 12/3

x = 4

2x = 2*4 = 8

3x = 3*4 = 12

The numbers are: 8 , 12

rick has $1400 and sally has $1500

step-by-step explanation:

to find amount of money rick has after 10 years :

principal = $1000 , time = 10 years , rate = 4% annually

to find amount of money sally has after 10 years :

her friend gives to pay her $50 per year, therefore money she has after 10 years = 50 × 10 = $500

also, sally gets $1000 after 10 years,

therefore, total amount of money sally has after 10 years = 500 + 1000 = $1500

so, after 10 years : rick has $1400 and sally has $1500