Math, asked by aena56, 8 months ago

The sum of two consecutive multiples of 4 is 60. Find the number. please answer in a long form✔️✔️✔️✔️​

Answers

Answered by saurabh8813
6

Answer:

The 2 consecutive multiples of 4 are 28 and 32.

Attachments:
Answered by Anonymous
7

Question

→The sum of two consecutive multiples of 4 is 60. Find the number.

Answer

Let the first number be 4x .

Then the second number be 4x+4.

Atq,

\sf{\implies 4x+4x+4=60}

\sf{\implies 8x+4=60}

\sf{\implies 4(2x+1)=60}

\sf{\implies (2x+1)=\dfrac{60}{4}}

\sf{\implies (2x+1)=\dfrac{\cancel{60}^{15}}{\cancel{4}}}

\sf{\implies 2x+1=15}

\sf{\implies 2x =14}

\sf{\implies x =\dfrac{14}{2}}

\sf{\implies x =\cancel{\dfrac{14}{2}}}

{\underline{\boxed{\red{\bf{\leadsto x=7}}}}}

\rule{200}3

\sf{\pink{First\:Number=4x=28}}

\sf{\purple{Second\:Number=4x+4=28+4=32}}

Similar questions