Question

The combined age of husband and wife are three times the combined ages of their children. Three years ago the ratio of their ages was 4 : 1, while 5 years after the ratio will be 20:9. How many children have they? don't post unnecessary answer please .​

Answer 1

Answer:

Hope it will help you.. j

Answer 2

Answer:

$\huge{\underline{\underline {\mathtt{\purple{A}\pink{N}\green{S}\blue{W}\red{E}\orange{R}}}}}$ ➤Let take number of children = n

➤Combined Age of n Children = x

➤combined age of husband and wife = 3x

➤Three years ago combined age of

➤husband and wife 3x -2 3= 3x 6

Three years ago combined age

Combined Age of n Children = x - n *3

x=3n

Three years ago the ratio of their ages

was 4:1

=3x-6= 4(x - 3n)

=>3x- 6 = 4x -12n

=>x=12n-6

5 years After combined age of husband

and wife = 3x+ 2×5= 3x+10

5 years After combined age Combined

Age of n Children = x+n×5= x+5n

5 years after the ratio will be 20:9

9(3x +10)= 20(x+5n)

=>27x +90= 20x +100n

=7x =10On-90

12n- 6

=>7 (12n- 6) =100n-90

=>84n -42 =100n-90

=>16n =48

=>n = 33

$\bold{Number \:of\: children = 3}$