Question

1] . Solve the following word problem
The Sum of two need is 146 and their difference is 18 . Find the number.
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Answer 1

Answer:

Let x and y are the two numbers.

Then we are told that x+y=146

And

x−y=18

So what is (x+y)+(x-y)?

that’s 146 + 18 = 164.

It’s also (x+y)+(x-y) = 2x.

So 2x = 164

Divide by 2.

x = 82

Then 82 + y = 146

And y = 146–82 = 64

The numbers are 82 and 64.

Answer 2

QUESTION -

Solve the following word problem

Solve the following word problemThe Sum of two need is 146 and their difference is 18 . Find the number.

Solve the following word problemThe Sum of two need is 146 and their difference is 18 . Find the number.

ANSWER -

Let one number be x, and the other number be y.

x and y

Their sum = 146

x + y = 146

Their difference = 18

x - y = 18

We have a pair of simultaneous equations and will solve these using substitution.

x + y = 146 (1)

x - y = 18 (2)

Rearrange (2):

x - y = 18

x = 18 + y (3)

Substitute (3) into (1)

x + y = 146

(18 + y) + y =146

18 + y + y = 146

2y = 128

y =64 (4)

Substitute (4) into (3)

x = 18 + y

x = 18 + 64 = 82

Hence the two numbers are 82, and 64.