SOLUTION: Two numbers differ by 20. If the larger number is divided by the smaller, the quotient is 2 and the remainder is 5. Find the numbers.
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Question 67917This question is from textbook Algebra:Structure and Method
: Two numbers differ by 20. If the larger number is divided by the smaller, the quotient is 2 and the remainder is 5. Find the numbers.
This question is from textbook Algebra:Structure and Method
Answer by adamchapman(301) (Show Source): You can put this solution on YOUR website!
let the first number be called "a", and the second "b".
from the question, we can tell that a-b=20............. eqn 1
also from the question,
b goes into a 2 times, with 5 left over. This tells us: 2b+5=a.......... eqn 2
Now if we replace a in the first equation withe equation 2, we get
2b+5-b=20
and rearranging:
b+5=20
b=15
Now we can replace the b in equation 2 with the number 15:
2(15)+5=1
30+5=a
a=35
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