Question

The sum of 2 numbers is 40.If the smaller number is doubled ,it becomes 14 more then the larger number .Find the numbers.

Answer 1

Let us assume, the two numbers are x and y and x < y.

Given:

x + y = 40 --------------1

Also given:

2x = y + 14

2x - y = 14 ------------2

Add equation 1 and equation 2

3x = 54

x = 18

Therefore, y = 40 - x = 40 - 18 = 22

The two numbers are 18 and 22.

Answer 2

$\Large{\textbf{\underline{\underline{According\;to\;the\;Question}}}}$

Assumption

Larger number be t

Also,

Smaller number be p

Then,

1st Situation :-

p + t = 40 .......... (1)

Also,

2nd Situation :-

2p = t + 14

t = 2p - 14 ............. (2)

Now,

Substitute value of t in (1)

p + (2p - 14) = 40

3p = 40 +14

3p = 54

p = 54/3

p = 18

Now,

Put the value of p in (2) :-

t = 2(18) - 14

t = 36 - 14

t = 22

Hence,

Larger number = 22

Smaller number = 18