Question

The sum of two numbers is 8 and their
difference is 4. Find the numbers
2. If a number is thrice the other and their sum
is 24, find the numbers.
3. The sum of four consecutive even numbers is
100, find the numbers.
4. The sum of two consecutive multiplies of 17
391. Find these multiples.​

Answer 1

Answer:

I. x+y = 8 ____(1)

x-y = 4 ____(2)

equating (1) and (2),

we get, x = 6 and y = 2.

Therefore, the numbers are 6 and 2.

II. a = 3b

a + 3b = 24

3b + 3b = 24 (since a = 3b)

6b = 24

b = 6.

Therefore, the number is 6.

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Answer 2

1 Answer: a=6,b=2

Step-by-step explanation:

Let

The two number be x, y

Sum of the number is 8

x+y=8 (eq 1)

Difference of the numbers is 4

x-y=4 (eq 2)

Solve 1 and 2

x+y=8

x-y=4

-----------

2x=12

-----------

x=6

y=2