Question 269473
"Three times Nancy's age is 5 more than twice Rogers age." means 3N=5+2R
"The sum of their age is 32." means N+R=32
N=nancys age and R=rogers age
3N-2R=5
1N+1R=32 times this whole line by 2
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3N-2R=5
2N+2R=64 add the 2 lines together vertically
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5N=69
N=69/5=13.8
Nancy is 13.8yrs old
or 13years and 292days old
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so if N+R=32
13.8+R=32
R=18.2
Roger is 18.2yrs old
or 18years and 73days old
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check
3N=5+2R
3(13.8)=5+2(18.2)
41.4=41.4
correct