Question

One number is greater than the other number by 3. The sum of the two number is 23. The two numbers are?​

Answer 1

Let the one number be x

Let the other number be x+3

According to the question

x + x + 3 = 23

2x + 3 = 23

2x = 23 - 3

2x = 20

x = 20 ÷ 2

x = 20/2

x = 10

• One number be x and x = 10
• Other number be x+3 = 10 + 3 = 13

10 + 13 = 23

Answer 2

Answer:

Question :-

• One number is greater than the other number by 3. The sum of the two numbers is 23. The two numbers are ?

Given :-

• One number is greater than the other number by 3.
• The sum of the two numbers is 23.

To Find :-

• What are the two numbers.

Solution :-

Let,

$:\mapsto \bf First\: Number =\: a$

$:\mapsto \bf Second\: Number =\: (a + 3)$

According to the question :

$\bigstar$ The sum of the two numbers is 23.

So,

$\small :\implies \bf \bigg\{First\: Number\bigg\} + \bigg\{Second\: Number\bigg\} =\: 23$

$:\implies \sf a + (a + 3) =\: 23$

$:\implies \sf a + a + 3 =\: 23$

$:\implies \sf 2a + 3 =\: 23$

$:\implies \sf 2a =\: 23 - 3$

$:\implies \sf 2a =\: 20$

$:\implies \sf a =\: \dfrac{\cancel{20}}{\cancel{2}}$

$:\implies \sf a =\: \dfrac{10}{1}$

$:\implies \sf\bold{\blue{a =\: 10}}$

Hence, the required two numbers are :

$\dag$ First Number :

$\dashrightarrow \sf First\: Number =\: a$

$\dashrightarrow \sf\bold{\red{First\: Number =\: 10}}$

$\dag$ Second Number :

$\dashrightarrow \sf Second\: Number =\: (a + 3)$

$\dashrightarrow \sf Second\: Number =\: 10 + 3$

$\dashrightarrow \sf\bold{\red{Second\: Number =\: 13}}$

$\sf\bold{\purple{\underline{\therefore\: The\: two\: numbers\: are\: 10\: and\: 13\: .}}}$

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☆ VERIFICATION ☆

Let's verify the above answer :-

$\clubsuit$ The sum of two numbers is 23.

$\leadsto \bf a + (a + 3) =\: 23$

By putting a = 10 we get,

$\leadsto \sf 10 + (10 + 3) =\: 23$

$\leadsto \sf 10 + 13 =\: 23$

$\leadsto \sf\bold{\pink{23 =\: 23}}$

$\leadsto \sf\bold{\green{L.H.S =\: R.H.S}}$

HENCE, VERIFIED !!

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