Question

31
4. The sum of three consecutive whole numbers is 153.Find the largest number.
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Answer 1

★GIVEN★

The sum of three consecutive whole numbers is 153.

★To Find★

The largest number.

★SOLUTION★

• Let the first number be x.
• Let the second number be x + 1.
• Let the third number be x + 2.
• Sum = 153

According to the question,

$\large\implies{\sf{x+(x+1)+(x+2)=153}}$

$\large\implies{\sf{x+x+1+x+2=153}}$

$\large\implies{\sf{3x+3=153}}$

$\large\implies{\sf{3x=153-3}}$

$\large\implies{\sf{x=\dfrac{150}{3}}}$

$\large\implies{\sf{x=\dfrac{\cancel{150}}{\cancel{3}}}}$

$\large\therefore\boxed{\bf{x=50.}}$

The whole numbers are:-

1. x = 50
2. x + 1 = 50 + 1 = 51
3. x + 2 = 50 + 2 = 52

★VERIFICATION★

$\large\implies{\sf{50+51+52=153}}$

$\large\implies{\sf{153=153}}$

$\large\therefore\boxed{\bf{LHS=RHS.}}$

So, the largest whole number is 53.