One number is 2 less than another. If 4 times the larger is subtracted from 5 times the smaller, the result is 10. What are the numbers?

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Answer 1 · 2016-09-30T08:50:49

$x=18$

Define the two numbers first.
Let the smaller number be $color(red)(x)$
The larger number is $color(blue)(x+2)$

The main operation is subtraction. Look for "FROM"
"5 times the smaller number - 4 times bigger gives the answer 10"

Write the word equation in maths:
$5color(red)(x) - 4(color(blue)(x+2)) = 10$

$5x-4x-8 = 10$

$x = 10+8$

$x =18$