Question

the sum of three numbers is 85. The second is 7 more than the first. The third is 2 more than four times the second. Find the numbers

Answer 1

The first number - x
The second number is 7 more than the first - x+7
The third number is 2 more than 4 times the second - 4(x+7)+2
The sum of the numbers is 85.


`x+x+7+4(x+7)+2=85 \\ x+x+7+4x+28+2=85 \\ 6x+37=85 \ \ \ |-37 \\ 6x=48 \ \ \ |/ 6 \\ x=8 \\ \\ x+7=8+7=15 \\ \\ 4(x+7)+2=4 * 15+2=60+2=62`

The numbers are 8, 15 and 62.