Question

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?

Answer 1

Jaya is 12, Jayant is 18

The consecutive numbers are 30 and 31.

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.

Answer 2

1.jayant is 18 and jana is 12

2.30,31

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