Question

A number is 15 more than other. the sum of to numbers is 195. Find the numbers.

Answer 1

Answer:

let one number be x

other number =x+15

ATQ x+x+15=195

2x=195-15

2x=180

x=90

other number =x+15

=90+15

105

Answer 2

Solution

Given :-

• A number is 15 more than other
• the sum of to numbers is 195

Find :-

• Those Number

Explanation

Let,

• First Number be = x
• Second Number be = y

A/C to question,

Case(1).

(A number is 15 more than other)

==> x = y + 15

==> x - y = 15 -------------(1)

Case(2).

(the sum of to numbers is 195)

==> x + y = 195 ------------(2)

Add equation(1) & (2)

We get,

==> x + x = 15 + 195

==> 2x = 210

==> x = 210/2

==> x = 105

Keep Value of x in equ(1)

==> 105 - y = 15

==> y = 105 - 15

==> y = 90

Hence

• Value of first Number be (x) = 105
• Value of Second Number be (y) = 90

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Answer Verification

Case(1).

(A number is 15 more than other)

==> x = y + 15

Keep Value of x and y

==> 105 = 90 + 15

==> 105 = 105

L.H.S. = R.H.S.

Case(2).

(the sum of to numbers is 195)

==> x + y = 195

Keep Value of x and y

==> 105 + 90 = 195

==> 195 = 195

L.H.S. = R.H.S.

Here ,Value of x & y satisfied both cases

Then, we can say that our solution is absolutely right .

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