Question

Indu is six years less than five times Manisha's age. She is also 42 yrs older than her. What is Indu's age?​

Answer 1

Explanation:

Let Manisha's age be x.

Given, Indu is six years less than five times her age, meaning her age is 5x - 6.

But it is also given that Indu is 42 years older than Manisha, meaning her age is x + 42. Thus, we can conclude that

$\mathsf{5x-6=x+42}$

$\mathsf{==>5x-x=42+6}$

$\mathsf{==>4x=48}$

∴ $\mathsf{x=\frac{48}{4}=12}$

Hence, Indu's age is 12 + 42 = 54 years.

Verification:

$\mathsf{5\times12-6=12+42}$

$\mathsf{==>60-6=54}$

$\mathsf{==>54=54}$

Hence, LHS = RHS.

Answer: Indu's age is 54 years.

I hope this helps. :D