Question

the sum of two numbers is 100 the difference is 6

Answer 1

let one number be x
and the other be y

case1
x+y=100

case2
x-y=6

on solving you get ,
x=53 and y= 14
mark me the brainliest please

Answer 2

Answer :-

• The two numbers are 53 and 47.

Given :-

• Sum of two numbers = 100.
• The difference of the two numbers is 6.

To find :-

• The two numbers.

Solution :-

Let the two numbers be x and y.

We know that,

x + y = 100

x - y = 6

• If x - y = 6. It can be transposed and be x = y + 6.

So, Equation will be :-

(6 + y) + y =100

➞ 6 + y + y = 100

➞ 6 + 2y = 100

➞ 2y = 100-6

➞ 2y = 94

➞ y = $\bf \dfrac{94}{2}$

➞ y = 47

Hence, The second number (y) = 47.

We know that,

• x = 6 + y

➞ x = 6 + 47

➞ x = 53.

Thus, The first number (x) = 53.

Therefore, The two numbers are :-

1. Y = 47.
2. X = 53.