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1) Find the two consecutive integers such that if we triple the first and double the second, the sum is 77.
Represent:
Equate:
Solve:
Prove:
Final Answer:
2) Francis is thrice as old as Warren. Joseph is 2 years older than Warren. If the sum of
their ages is 42, find the ages of the three boys.
1) Find the two consecutive integers such that if we triple the first and double the second, the sum is 77.
Represent: x first integer x+1 second integer Equate: 3x+2(x+1)=77 Solve: 3x+2x+2=77; 5x=75; x=15 Prove: 3(15)+2(15+1)=77; 45+32 = 77; 77 = 77 Final Answer: 15 and 16
2) Francis is thrice as old as Warren. Joseph is 2 years older than Warren. If the sum of their ages is 42, find the ages of the three boys.
Represent: x age of francis y age of warren z age of joseph Equate: x=3y; z=y+2; x+y+z=42 Solve: (3y)+y+(y+2)=42; 5y=40; y=8; x=24; z=10 Prove: 24=3(8); 24 = 24; 10=8+2; 10 = 10; 8 + 24 + 10 = 42; 8 + 24 + 10 = 42 Final Answer: francis is 24 yrs old. warren is 8 yrs old. joseph is 10 yrs old.
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