SOLUTION: Richard is 5 years older then Sheila. Four times Shiela's age increased by 3 years equals thee times Richards age diminished by 2 years. Find Richards age. Please explain the st

Question 953487: Richard is 5 years older then Sheila. Four times Shiela's age increased by 3 years equals thee times Richards age diminished by 2 years. Find Richards age.
Please explain the steps to get to this answer too
Thank you!
Answer by addingup(3677) (Show Source): You can put this solution on YOUR website!
R = S+5
4S+3 = 3R-2 and since we just said that R= S+5:
4S+3 = 3(S+5)- 2 Let's multiply on the right to clear the parenthesis:
4S+3 = 3S+15-2 Subtract on the right:
4S+3 = 3S+13 Now subtract 3S on both sides, and also subtract 3 on both sides
S = 10 Sheila is 10 years old. And Richard? Well, the problem says he's 5 years older than Sheila, so Richard is 15.
Proof:
4S+3 = 3R-2
4(10)+3 = 3(15)-2
43 = 43 We got the right answer.
RELATED QUESTIONS
Richard is five years older than Sheila. Four times Sheila�s age increased by 3 years... (answered by josmiceli)

Richard is 5 years older than Sheila. Three more than four times sheila�s age is 2 less... (answered by ikleyn,stanbon,josmiceli)

5. Mary is 5 years older than Jane. Four times Jane's age increased by 3 years equals... (answered by josmiceli)

ok please help me, aead is 5 years older than Jen. Four times Jen's age increased... (answered by Fermat,jb007mi6)

Richards age in 11 years will be three times what it was 15 years ago. How old is Richard (answered by fmo)

Sheila is four times as old as jasmine. In 2 years Sheila will be 8 years older than... (answered by josgarithmetic)

Sheila is four times as old as jasmine. In 2 years sheila will be 8 years older than... (answered by josgarithmetic)

Sheila is four iMessage as old as jasmine. In 2 years Sheila will be 8 years older than... (answered by josgarithmetic)

Lucy is 5 years older than dorthy. Four years ago,eight times dorthys age equaled three... (answered by josgarithmetic)