Pair of Linear Equation in Two Variables Test

Result

Pair of Linear Equation in Two Variables Test - 5

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Question 1
1 / -0

The difference between the age of Guri and Shuri is 4 years. Five years ago, the sum of their ages was 36 years. What will be the ratio of the age of Guri to that of Shuri 7 years from now, if Shuri is younger than Guri?

A
6 : 7

B
7 : 6

C
8 : 7

D
7 : 8

Solution

Let the age of Guri and Shuri five years ago be x and y, respectively.
According to the question,
x + y = 36
x = 36 - y ... (i)

Also,
x - y = 4

Putting the value of x as given in (i) we get,
36 - y - y = 4
36 - 2y = 4
-2y = 4 - 36
-2y = -32
2y = 32
y = 32 ÷ 2
y = 16

Therefore, the age of Shuri, 5 years ago = 16 years
Putting y = 16 in the equation x - y = 4,
x - 16 = 4
x = 4 + 16
x = 20

Hence, age of Guri, 5 years ago = 20 years
Present age of Guri = 20 + 5 = 25 years

Present age of Shuri = 16 + 5 = 21 years
Age of Guri and Shuri, 7 years from now, will be 32 years and 28 years, respectively.

Required ratio = 32 : 28

= 8 : 7