Question

Robin's age is three less than 3/2 times the age of Manu and two more than 4/7 times the age of John. If John's age is 70, what is the age of Manu?​

Answer 1

Answer:

Question:-

Robin's age is three less than 3/2 times the age of Manu and two more than 4/7 times the age of John. If John's age is 70, what is the age of Manu?

Solution:-

First according to second condition Robin age is two more than 4/7 times the age of John

So Robin age is

$\mathtt \blue{ = 2 + \frac{4}{7} \times 70}$

$\mathtt \blue{ = 2 + 4 \times 10}$

$\mathtt \blue{ = 2 + 40}$

$\mathtt \blue{ = 42}$

Now according to first condition Robin age is 3 less 3/2 times the age of Manu

Let Manu age be x

$\mathtt \blue{42 = 3 - \frac{3}{2} \times x}$

$\mathtt \blue{ 42 = 3 - \frac{3x}{2} }$

$\mathtt \blue{42 = \frac{6x - 3x}{2} }$

$\mathtt\blue{42 = \frac{3x}{2} }$

$\mathtt\blue{42 \times 2 = 3x}$

$\mathtt\blue{84 = 3x}$

$\mathtt\blue{ \frac{84}{3} = x}$

$\mathtt\blue{28 = x}$

Manu age is 28 years.

Step-by-step explanation:

I hope this helps you mate.