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math problem

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The difference between the age of a mother and her daughter is 21years in the next 10years. The sum of the mother's age and the square root of that of the daughter's is 77years. Find their ages

Feb 19, 2020

#2
+1

CPhill: The question ends by saying "The sum of the mother's age and the square root of that of the daughter's is 77 years". Find their ages

Let mother's age 10 years from now = M
Daughter's age 10 years from now =M - 21
[M - 10] + sqrt[M - 31] = 77 [sum of their ages today], solve for M
M =80 years - mother's age 10 years from now
80 - 21 =59 years - daughter's age 10 years from now.
80 - 10 =70 years - mother's age now
59 - 10 =49 years - daughter's age now.

So that: [70 + sqrt(49) ] = 77 years.

Feb 19, 2020

#1
+109740
+2

See guest's answer.....I screwed this one up!!!!

Feb 19, 2020
edited by CPhill  Feb 20, 2020
edited by CPhill  Feb 20, 2020
#2
+1

CPhill: The question ends by saying "The sum of the mother's age and the square root of that of the daughter's is 77 years". Find their ages

Let mother's age 10 years from now = M
Daughter's age 10 years from now =M - 21
[M - 10] + sqrt[M - 31] = 77 [sum of their ages today], solve for M
M =80 years - mother's age 10 years from now
80 - 21 =59 years - daughter's age 10 years from now.
80 - 10 =70 years - mother's age now
59 - 10 =49 years - daughter's age now.

So that: [70 + sqrt(49) ] = 77 years.

Guest Feb 19, 2020