Question

The difference between two numbers is 15 .Four times the smaller plus six times the larger is 270 Find the larger number​

Answer 1

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X is bigger than Y

X-Y=15

6X+4Y=270

multiply first equation by 4

4X-4Y=60

and add to 2nd equation

10X=330

X=33 Y=18

Answer 2

The larger number is 33

Step-by-step explanation:

Let the larger number be x

Let the smaller number be y

We are given that The difference between two numbers is 15

So, x-y = 15   ------ A

Four times the smaller plus six times the larger is 270

4y+6x=270

Substitute the value of y from A

4(x-15)-6x=270

4x-60+6x=270

10x=330

x=33

Hence The larger number is 33

#Learn more:

The difference between two numbers is 7. Six times the smaller plus the larger is 77. Find the numbers

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