SOLUTION: Four times the sum of twice the number and 7 exceeds the value of the number by 70. What is the number?

Click here to see ALL problems on Miscellaneous Word Problems

Question 1202551: Four times the sum of twice the number and 7 exceeds the value of the number by 70. What is the number?
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39617) (Show Source):
You can put this solution on YOUR website!
Exactly as literally described!

For the number being called n,
.

6

Answer by greenestamps(13200) (Show Source):
You can put this solution on YOUR website!

Beginning algebra students often have difficulty translating the words into algebraic language....

"four times..." ---> we are multiplying what comes next by 4 ---> 4(...)

"four times the sum of ..." ---> what we are multiplying by 4 is the sum of (at least) two things ---> 4(...+...)

"four times the sum of twice the number and 7..." ---> 4(2x+7)

"four times the sum of twice the number and 7 exceeds the value of the number by 70"

Translating "exceeds" into mathematical language, this means that expression is 70 more than the number itself:

"four times the sum of twice the number and 7 is 70 more than the number" ---> 4(2x+7) = x+70

ANSWER: 4(2x+7 = x+70