Question

Frame equation . My grand mother’s age is 10 more than 5 times my age . If my age is ‘y’ years then my grand mother’s age is ----------- .​

Answer 1

If your age is y.

Then your grandmother's age will be 5y + 10.

Answer 2

Answer:

suppose Rohan's grandmother's age is y and Rohan's age is x. Then you get:

y=5x

y+10=3(x+10)

Substitute the first into the second,

5x+10=3x+30

which gives 2x=20 or x=10

Thus, Rohan's current age is 10 and his grandmother's current age is 50.

10 years from now, they will be 20 and 60 respectively.

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answered

Aug 24 '15 at 14:51

uday

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Currently, G = 5R ---- (1)

(Where G = Grandmom's age, and R = Rohan's age)

After 10 years, G + 10 = 3 (R + 10) ==> G + 10 = 3R + 30 ==> G = 3R + 20 ---- (2)

Solving equations (1), and (2)... 5R = 3R +20 ==> R = 10 ----(3)

Substituting (3) in (1), will give G as 50.

Therefore, Rohan is 10 years old, and Grandmother is 50 years old (Current ages)

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answered

Aug 24 '15 at 14:54

msekhar12

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Assume the ages are integers, let y be the current age of the grandma, and y+10 be her age in 10 years time. Then 5|y and 3|(y+10). For this to happen y=5(3k+1), with y+10=5(3k+1)+10=5(3k+3)=3(5k+5). So we want 5k+5−(3k+1)=10, so 2k=6 so k=3. So Rohan's age is 3⋅3+1=10 and grandma's age is 5(3⋅3+1)=50