# Write an equation to solve each problem. Two brothers are saving money to buy tickets to a concert. Their combined savings is $55. One brother ha s$15 more than the other. How much has each saved?

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Write an equation to solve each problem. Two brothers are saving money to buy tickets to a concert. Their combined savings is $$\55$$. One brother ha s $$\15$$ more than the other. How much has each saved?

2020-11-10
Now x = the first brother and y = second brother.
Their combined $$x + y = 55$$
One brother has 15 more than the other. $$x = y - 15$$
Let, solve the two equation together by substitute $$(y-15)+y=55$$. Place the values of x from the second equation
$$y-15+y=55$$
$$2y-15=55$$
$$2y=55+15$$ Move -15 to the order side
$$2y=70$$
$$\frac{2y}{2}=\frac{70}{2}$$ Divide by -4
$$y=35$$ and $$x = 35 - 15 = 20$$ One of the two brother has 35 and the other has 20

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