Anumber is 40% more than another number. if the sum of the two numbers is 84, find the two numbers

If a number is 40% more than another number, we can say that the new number is equivalent to the sum of the old number and 40% of the old number. Let's try to represent this as an equation. First, let's convert the percentage to a fraction:

Defining as the new number and as the old number, we can say:

Also, we can say:

To solve, let's substitute the first equation into the second equation for and simplify.

Substitute

Get terms over common denominator

Simplify

Multiply both sides by 5

We now have found the old number. Using the second equation we found near the beginning, let's find .

The numbers are 35 and 49.

i = 2 / - 5

step-by-step explanation:

evaluation of ( 2 - 4 ) ( p + q ) when p = 2 and q = 5 i, by putting values of p and q,                                                                    

0 = ( 2 - 4 ) ( p + q )0 = ( 2 - 4 ) ( 2 + 5 i ),   by multiplying these0 = ( 4 + 10 i - 8 - 20 i )0 = 4 - 8 + 10 i - 20 i0 = - 4 -10 i   0 = 2 ( - 2 - 5 i )0 / 2 = - 2 - 5 i- 2 - 5 i = 0- 5 i = 2i = 2 / - 5

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