Question

one number is 10 more than the other number .8 times the smaller number equals to 3 times the larger number find the numbers.

Answer 1

Let the smaller number be A and the larger number be B.
Therefore, B - A= 10 or, B = 10+A
and, 8A=3B or, 8A=3(10+A) or, 8A-3A=30 or, 5A=30 or, A=6.
now, B=A+10 or, B=6+10=16.
Therefore, A=6, B=16.