Question

two years ago, the average age of a man, his wife his daughter and his son were 28 years and that of the man and daughter 3 years ago 26.5 years, what is total present age of his wife and his son?​

Answer 1

Answer:

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Step-by-step explanation:

let the present age of man be a years,his wife be y years,his daughter be c years and that of his son be d years

so according to first condition

[(a-2)+(b-2)+(c-2)+(d-2)]/4=28

so thus

a+b+c+d-8=112

so a+b+c+d=120 (1)

according to the second condition

[(a-3)+(c-3)]/2=26.5

so a+c-6=53

so a+c=59 (2)

so substitute value of a+c in (1) from (2)

we get b+d=61

thus the total present age of his wife and his son is 61 years