Tanya's grandfather was 8 times older to hear 16 years ago how would be 3 times of age 8 years from now what was the ratio of ages of tanya and her grandfather 8 years ago
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Hello dear,
◆ Answer -
4.8
◆ Explanation -
Let x be Tanya's present age and y be that for her grandfather.
16 years ago,
(y-16) / (x-16) = 8
y - 16 = 8x - 128
8x - y - 112 = 0 ...(1)
8 years after,
(y+8) / (x+8) = 3
y + 8 = 3x + 24
3x - y + 16 = 0 ...(2)
Solving (1) & (2),
x = 25.6 yrs
y = 92.8 yrs
So 8 years back,
(92.8-8) / (25.6-8) = 4.8
Therefore, ratio of Grandfather to Tanya's age after 8 years will be 4.8 .
Hope this helps you...
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