Question

a number is three time another number. when the larger number is subtracted from 100 the result is 30 more than the smaller number subtracted from 50.find the numbers​

Answer 1

Answer:

Step-by-step explanation:

Let numbers be x

First no is x , second 3x;

100-3x=50-x+30

Solving the equation

100-50-30=-x+3x

20=2x

X=20/2

X=10 and 3x=30

First number is 10

Second number is 30

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Answer 2

Answer:

$\large{\underline{\boxed{\sf Large\:number=30}}}$

$\large{\underline{\boxed{\sf small\:number=10}}}$

Step-by-step explanation:

We have given that the Larger number is three times of smaller number.

So, according to this,

Let the smaller number be x

and larger number be 3x

In the question it is given that when Larger number is subtracted from 100 the result is 30 more than the smaller no. subtracted from 50

So,

from this we got an equation :

»» $\sf 100-3x=50-x+30$

»» $\sf 100-3x=80-x$

»» $\sf 100-80=3x-x$

»» $\sf20=2x$

»» $\sf10=x$

The larger number is three times so, by simply multiplying by 3 we will get our larger number.

$\sf 10*3=30$