The ratio of Present age of Madhu and Divya is 6:7. Madhu is 7 years y...
M/D = 6/7
L- M =7
L+8 = 51 L = 43
M = 36
D = 42
D-M = 42-36 = 6
View all questions of this test
The ratio of Present age of Madhu and Divya is 6:7. Madhu is 7 years y...
M/D = 6/7
L- M =7
L+8 = 51 L = 43
M = 36
D = 42
D-M = 42-36 = 6
The ratio of Present age of Madhu and Divya is 6:7. Madhu is 7 years y...
Is 5 years older than Divya. What is the present age of Madhu?
Let's start by using the information given in the problem to create equations.
Let M be the present age of Madhu, D be the present age of Divya, and L be the present age of Laxmi.
From the first sentence, we know that:
M/D = 6/7
From the second sentence, we know that:
M = L - 7
From the third sentence, we know that:
L = D + 5
We can use these three equations to solve for M, the present age of Madhu.
First, let's use the third equation to substitute L in the second equation:
M = (D + 5) - 7
Simplifying:
M = D - 2
Now we have two equations involving M and D:
M/D = 6/7
M = D - 2
We can solve for D in the first equation by cross-multiplying:
7M = 6D
D = 7M/6
Now we can substitute this expression for D in the second equation:
M = 7M/6 - 2
Multiplying both sides by 6:
6M = 7M - 12
Subtracting 6M from both sides:
M = 12
Therefore, the present age of Madhu is 12 years old.