Question

Laura's age is 3 times that of her brothers age . if both of their ages are added together it will be 32 find the age of her brother ?

Answer 1

Answer:

8 years

Step-by-step explanation:

let Laura age be l and brother 's be b

l = 3b

l+b = 32

3b+b = 32

4b =32

b = 32/4 =8

age of brother = 8 years,

age of Laura = 8×3 = 24 years

Answer 2

${\huge{\boxed{\underline{\mathrm{\blue{A}{\green{n}{\orange{s}{\purple{w}{\red{e}{\pink{r:-}}}}}}}}}}}$

Her brother is 8 years old.

Step-by-step explanation:

${\large{\underline{\green{\boxed{\boxed{\mathrm{\blue{Given \ :-}}}}}}}}$

• Laura's age greater than her brother = 3 times grater than her brother
• Sum of their ages = 32

${\large{\pink{\underline{\boxed{\boxed{\mathrm{\orange{To \ Find \ :-}}}}}}}}$

• Age of Laura's brother

${\large{\orange{\underline{\boxed{\boxed{\mathrm{\purple{Solution \ :-}}}}}}}}$

Let the age of Laura's brother be 'x',

∴ Laura's age = 3x

Equation Formed :-

➠ $3x + x = 32$

Value of x :-

$\longrightarrow 4x = 32\\\\\longrightarrow \dfrac{32}{4}\\\\\longrightarrow 8\\\\\\\\{\boxed{\large{\underline{\mathsf{\blue{Age \ }{\pink{of \ }{\green{Laura's \ }{\orange{brother \ }{\green{is \ }{\blue{8 \ years}}}}}}}}}}}$

Verification :-

Age of Laura = 32 - 8 = 24 years

$\Longrightarrow {\mathsf{Age \ of \ Laura + Age \ of \ Laura's \ brother = 32}}\\\\\longmapsto {\mathsf{24 + 8 = 32}}\\\\\longmapsto {\mathsf{32 = 32}}\\\\\longmapsto {\mathsf{LHS = RHS}}\\\\{\mathsf{Hence \ Verified \ \checkmark}}$