Math, asked by TIYACHAKRAWARTI, 5 months ago

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 .l​

Answers

Answered by kapilchavhan223
17

Answer

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 20:9.06-Jul-2020

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 20:9.06-Jul-2020brainly.in › Math › Secondary School

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 20:9.06-Jul-2020brainly.in › Math › Secondary SchoolThe combined ages of

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Answered by ItzMrSwaG
25

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Given :

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.

To Find :

How many children have they?

Solution:

Let say number of children = n

  • Combined Age of n Children = A

  • combined age of husband and wife = 3A

Three years ago combined age of husband and wife = 3A - 2 * 3 = 3A - 6

Three years ago combined age Combined Age of n Children = A - n * 3 = A - 3n

Three years ago the ratio of their ages was 4 : 1

=> 3A - 6 = 4(A - 3n)

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

=> A = 12n - 6

5 years After combined age of husband and wife = 3A+ 2 * 5 = 3A+10

5 years After combined age Combined Age of n Children = A+ n * 5 = A +5n

5 years after the ratio will be 20:9

=> 9(3A + 10) = 20(A + 5n)

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

=> 7A = 100n-90

12n - 6

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

=> 84n - 42 = 100n-90

=> 16n =48

=> n = 3

Number of children = 3

_________________________

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