Question

❤ Brainly by Brian ❤ ♥100♥


If you take my son’s age and multiply it by one and a half times his age you get 24. How old is my son?​

Answer 1

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Let the age of 'your' son be x,

So, the equation will be ,

x×(X×3/2)=24

x²×3/2=24

x²=24×2/3

X²=16

Therefore the age of ur son will be 4!!!

Thanks

Answer 2

Let the son's age be x years

One and a half years means 1.5x


According to the given condition

x × 1.5x = 24

☛ 1.5x² = 24

1.5 means 3/2

So,

☛ 3/2x² = 24

☛ x² = 24 × 2/3

24 gets divided by 3

☛ x² = 8 × 2

☛ x² = 16

Taking square root on both the sides

☛ x = 4


∴ The present age of son is $\large{\boxed{\boxed{\rm{4\:years}}}}$


Let's check the solution :-

x × 1.5x = 24

By putting the value of x as 4

☛ 4 × 1.5 × 4 = 24

☛ 6 × 4 = 24

☛ 24 = 24

∴ LHS = RHS


Hence, the present age of son is 4 years