Question

Nina is 10 years younger than deepak. Deepak is 3 times as old as Nina. Which system of equations can be used to find d,deepaks age and n, Nina’s age

Answer 1

We can use algebraic linear equation for this.

Step-by-step explanation:

We have been given that,Nina is 10 years younger than Deepak.

we can write it in equation form as

Nina = (Deepak - 10) ---(1)

we have been also given that

Deepak is 3 times as old as Nina.

Deepak = 3Nina

So by multiplying value of Nina first equation with 3 we get another equation for value of Deepak

Deepak = 3(Deepak - 10) --------(2)

By simplifying equation 2

Deepak = 3Deepak- 30

3Deepak - Deepak= 30

2Deepak = 30

So Deepak = 30/2 = 15

Now find value for Nina age

Nina - Deepak- 10 = 15 - 10 = 5

Therefore the age of Deepak = 15 and age of Nina = 5

Answer 2

We can use linear system of equation with one variable.

Step-by-step explanation:

It is given that,Nina is 10 years younger than Deepak.

Deepak is 3 times as old as Nina.

To solve this using linear equation

Let d be the age of Deepak and n be the age of NIna

we can write,

n = (d - 10) ---(1)

d = 3n

d = 3(d - 10) --------(2)

d = 3d - 30

3d - d = 30

2d = 30

d = 30/2 = 15

n - d - 10 = 15 - 10 = 5

Therefore the age of Deepak = 15 and age of Nina = 5