Question 421457
"andrew is making a birthday card for her sister. he wants to draw flowers as many as the age of her sister is 6 years older than him, and the sum of their ages five years from now is 34"


x = Andrew's age now
x + 6 = sister's age now


x + 5 = Andrew five years from now
x + 11 = sister five years from now


x + 5 + x + 11 = 34 {in five years, sum of ages will be 34}
2x + 16 = 34 {combined like terms}
2x = 18 {subtracted 16 from both sides}
x = 9 {divided both sides by 2}
x + 6 = 15 {substituted 9, in for x, into x + 6}


Andrew is 9 now and his sister is 15 now
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