Bob and fran have been married for 47 years. they have 3 children, 2 sons and 1 daughter, all ages being within 5 years of each other. their 2 sons have 5 children between them. one son has 2 children. their daughter has 3 children and 1 grandchild. if the son with 2 children had a grandchild, how many great-grandchildren would bob and fran have?

If a son were to have a grandchild, Bob and Fran would then have two great-grandchildren.

Step-by-step explanation:

C = children

G = grand children

GG =  great grand children

Bob and Fran have 3 children, 2 sons(C) and 1 daughter(C).

Their 2 sons have 5 children(G) between them. One son has 2 children(G). Their daughter has 3 children(G) and 1 grandchild(GG).

If the son with 2 children had a grandchild(GG).

Now we can see that, at present we have a single great grand child that is of their daughter's.

As given, if a son were to have a grandchild, Bob and Fran would then have two great-grandchildren.

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation: