1. Jayant is 6 years older than Jaya. If the sum of their ages is 30, what are their ages? 2. The sun of two consecutive numbers is 61. What are the numbers?

1.jayant is 18 and jana is 12

2.30,31

Step-by-step explanation:

1.let jana be x

so jayant is x+6( Jayant is 6 years older than Jaya)

x+(x+6)=30

or,2x+6=30

or,2x=30-6

or,x=24/2

or,x=12

jaya=12

jayant=x+6=12+6=18

2.

given,

The sun of two consecutive numbers

so,let 1 be x and another be x+1

x+(x+1)=61

or,2x=61-1

or,x=60/2

or,x=30

x+1=31

Jaya is 12, Jayant is 18

The consecutive numbers are 30 and 31.

Step-by-step explanation:

Let x = Jaya's age

Let x+6 = Jayant's age

We put the plus 6 on there bc Jayant is 6 years older.

The sum of their ages is 30 (sum means adding) So we write that as

x + x + 6 = 30

Combine like terms (the two x's)

2x + 6 = 30

Subtract 6 from both sides.

2x = 24

Divide both sides by 2

x = 12

So Jaya is 12 and Jayant is 18. That makes Jayant 6 years older and their ages together 30.

Secondly, consecutive number means two numbers right in a row. So one number will be n and the next number is n+1.

Their sum (again, adding) is 61. So,

n + n + 1 = 61

2n + 1 = 61

2n = 60

n = 30

So one number is 30 and the next is 31. They are consecutive numbers and their sum is, in fact, 61.

a. she will receive a refund of $278.

step-by-step explanation:

answer: median

step-by-step explanation:

the median is the middle value when a data set is ordered from least to greatest