Question

The sum of two numbers is 42.If the first number is x then second number is:​

Answer 1

Answer: Number's are x=14 and

y = 28

● Step-by-step explanation:

Let x and y be the two numbers whose sum is 42

x + y = 42 (given) …(1

y = 2x (given) …(2

Put y=2x in equation ( 1 )

Therefor, x + 2x = 42

3x = 42

x = 14

and put value of x in equation (1) you get the value of y

y = 28

Answer 2

Solution:-

━━━━━━━━━━━━━━━━━━━━━━━━━━

$\large\to{\underbrace{\underline{\sf{Understanding\:the\:concept:-}}}}$

$\implies$. Here it is given in the question that the sum of 2 numbers is 42 and one of the number is x. Now, the question has asked us find out the 2nd number. So, to find the 2 nd number we have to form an equation and then solve it. Follow the steps shown below.

----------------------

ANSWER:-

❍ Value of x is = 14

❍ 2nd number is = 28

GIVEN:-

» Sum of 2 numbers = 42

» 1st number = x

TO FIND:-

➨ Here we have to find the 2 nd number.

SOLVING STEP BY STEP:-

• Let the 2nd number be 2x.
• To find the 2nd number first we have to find the value of x.
• Equation = 42 = x + 2x
• By solving the above equation we will get the value of x.

• Finding the value of x:-

$\to \sf{42 = x + 2x}$

$\to \sf{42 = 3x}$

$\to \sf{Transposing \: 3 \: to \: L.H.S.}$

$\to \sf{ \dfrac{42}{3} = x}$

$\to \sf{ \dfrac{\not{42}}{\not{3}} = x}$

$\to \sf{ \dfrac{14}{1} = x}$

$\to \sf{14 = x}$

$\underline{\boxed{\sf \dag x = 14}}$

• Finding the value of 2nd number:-

$\to \sf{2nd \: no. = 2x} \\ \to \sf{2nd \: no. = 2 \times 14} \\ \to \sf{2nd \: no. = 2 \times 14 = 28}$

$\underline{\boxed{\sf \dag 2nd \: no. = 28}}$

----------------------

VERIFICATION:-

$\to \sf{Sum = 1st \: no. + 2nd \: no.}$

$\to \sf{14 + 28}$

$\to \sf{14 + 28 = 42}$

$\sf{\therefore L.H.S = R.H.S}$

Hence, verified.

━━━━━━━━━━━━━━━━━━━━━━━━━━