Question

(i) The sum of two numbers is 70 and the
difference between them is 50. Find the
numbers.​

Answer 1

EXPLANATION.

Let the first number be = x

Let the second number be = y

Case = 1.

The sum of two number is = 70

=> x + y = 70 .......(1)

Case = 2.

The difference between them is = 50

=> x - y = 50 ........(2)

To find the number.

From equation (1) and (2) we get,

=> 2x = 120

=> x = 60

put the Value of x = 60 in equation (1)

we get,

=> 60 + y = 70

=> y = 10

Therefore,

The number = x = 60 and y = 10

Answer 2

Answer:

let the two numbers are X and Y

According to question

X + Y = 70 ------ (equation ‐ 1)

And

X – Y = 50 ------(equation - 2)

by the equation 2

X = 50 + Y ------(equation 3)

put the value of X from equation 3 into equation 1

Then

50 + Y + Y = 70

2Y = 70 – 50

2Y = 20

Y = 20/2

Y = 10

put Y = 10 into the equation 1

Then

X + 10 = 70

X = 70 – 10

X = 60

Now X = 60 and Y = 10