6. Manu’s mother’s age is 5years more than three times Manu’s age. Manu’s grandmother’s age is two years less than twice her mother’s age .if sum of ages of all the three persons is 113. Find their ages.
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Answer:
Manu's age - 10 years
Manu's mother age - 35 years
Manu's Grandmother age - 68 years
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Step-by-step explanation:
let manu's age be (x)
then his or her mother's age will be -- (3x)+5
and his grandmother's age will be -- (3x)+5×2-2 = (6x)+10-2
solution --
(3x)+5+6x+10-2+x=113
(3x)+(6x)+(x)=113-5-10+2
(10x)=100
(x)=100÷10
(x)=10
age of manu will be (x) =
10 years
manu's mother age will be (3x)+5 = 3×10+5 = 35 years
manu's grandmother's age will be (3x)+5×2-2 = (6x)+10-2 = 60+10-2 =
68 years
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